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Finding the Fourth Proportional to 2,702.56, 4,052.21 and 1,057.14

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Solution

The fourth proportional to 2,702.56, 4,052.21 and 1,057.14 is: 1,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.56 : 4,052.21 = 1,057.14 : x
  2. Step 2: Convert to fraction form
    2,702.56/4,052.21 = 1,057.14/x
  3. Step 3: Cross multiply
    2,702.56x = 4,052.21 × 1,057.14
  4. Step 4: Simplify right side
    2,702.56x = 4,283,753.28
  5. Step 5: Solve for x
    x = 4,283,753.28/2,702.56
  6. Step 6: Final answer
    x = 1,585.07

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