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Finding the Fourth Proportional to 2,516.16, 3,773.74 and 872.70

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Solution

The fourth proportional to 2,516.16, 3,773.74 and 872.70 is: 1,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.16 : 3,773.74 = 872.70 : x
  2. Step 2: Convert to fraction form
    2,516.16/3,773.74 = 872.70/x
  3. Step 3: Cross multiply
    2,516.16x = 3,773.74 × 872.70
  4. Step 4: Simplify right side
    2,516.16x = 3,293,342.90
  5. Step 5: Solve for x
    x = 3,293,342.90/2,516.16
  6. Step 6: Final answer
    x = 1,308.88

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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.