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Finding the Fourth Proportional to 1,566.10, 2,349.15 and 837.10

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Solution

The fourth proportional to 1,566.10, 2,349.15 and 837.10 is: 1,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.10 : 2,349.15 = 837.10 : x
  2. Step 2: Convert to fraction form
    1,566.10/2,349.15 = 837.10/x
  3. Step 3: Cross multiply
    1,566.10x = 2,349.15 × 837.10
  4. Step 4: Simplify right side
    1,566.10x = 1,966,473.47
  5. Step 5: Solve for x
    x = 1,966,473.47/1,566.10
  6. Step 6: Final answer
    x = 1,255.65

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,567.10, 2,350.65 and 838.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.