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Finding the Fourth Proportional to 3,028.29, 4,542.35 and 837.02

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Solution

The fourth proportional to 3,028.29, 4,542.35 and 837.02 is: 1,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.29 : 4,542.35 = 837.02 : x
  2. Step 2: Convert to fraction form
    3,028.29/4,542.35 = 837.02/x
  3. Step 3: Cross multiply
    3,028.29x = 4,542.35 × 837.02
  4. Step 4: Simplify right side
    3,028.29x = 3,802,010.90
  5. Step 5: Solve for x
    x = 3,802,010.90/3,028.29
  6. Step 6: Final answer
    x = 1,255.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,029.29, 4,543.84 and 838.02
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.