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Finding the Fourth Proportional to 2,116.94, 3,175.62 and 884.18

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Solution

The fourth proportional to 2,116.94, 3,175.62 and 884.18 is: 1,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.94 : 3,175.62 = 884.18 : x
  2. Step 2: Convert to fraction form
    2,116.94/3,175.62 = 884.18/x
  3. Step 3: Cross multiply
    2,116.94x = 3,175.62 × 884.18
  4. Step 4: Simplify right side
    2,116.94x = 2,807,819.69
  5. Step 5: Solve for x
    x = 2,807,819.69/2,116.94
  6. Step 6: Final answer
    x = 1,326.36

Related Problems

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Double scale
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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.