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Finding the Fourth Proportional to 2,516.69, 3,773.57 and 761.17

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Solution

The fourth proportional to 2,516.69, 3,773.57 and 761.17 is: 1,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.69 : 3,773.57 = 761.17 : x
  2. Step 2: Convert to fraction form
    2,516.69/3,773.57 = 761.17/x
  3. Step 3: Cross multiply
    2,516.69x = 3,773.57 × 761.17
  4. Step 4: Simplify right side
    2,516.69x = 2,872,324.47
  5. Step 5: Solve for x
    x = 2,872,324.47/2,516.69
  6. Step 6: Final answer
    x = 1,141.31

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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.