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Finding the Fourth Proportional to 1,711.76, 2,566.97 and 932.41

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Solution

The fourth proportional to 1,711.76, 2,566.97 and 932.41 is: 1,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.76 : 2,566.97 = 932.41 : x
  2. Step 2: Convert to fraction form
    1,711.76/2,566.97 = 932.41/x
  3. Step 3: Cross multiply
    1,711.76x = 2,566.97 × 932.41
  4. Step 4: Simplify right side
    1,711.76x = 2,393,451.00
  5. Step 5: Solve for x
    x = 2,393,451.00/1,711.76
  6. Step 6: Final answer
    x = 1,398.24

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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.