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Finding the Fourth Proportional to 2,516.31, 3,774.51 and 872.91

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Solution

The fourth proportional to 2,516.31, 3,774.51 and 872.91 is: 1,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.31 : 3,774.51 = 872.91 : x
  2. Step 2: Convert to fraction form
    2,516.31/3,774.51 = 872.91/x
  3. Step 3: Cross multiply
    2,516.31x = 3,774.51 × 872.91
  4. Step 4: Simplify right side
    2,516.31x = 3,294,807.52
  5. Step 5: Solve for x
    x = 3,294,807.52/2,516.31
  6. Step 6: Final answer
    x = 1,309.38

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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.