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Finding the Fourth Proportional to 1,731.91, 2,585.27 and 1,524.34

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Solution

The fourth proportional to 1,731.91, 2,585.27 and 1,524.34 is: 2,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.91 : 2,585.27 = 1,524.34 : x
  2. Step 2: Convert to fraction form
    1,731.91/2,585.27 = 1,524.34/x
  3. Step 3: Cross multiply
    1,731.91x = 2,585.27 × 1,524.34
  4. Step 4: Simplify right side
    1,731.91x = 3,940,830.47
  5. Step 5: Solve for x
    x = 3,940,830.47/1,731.91
  6. Step 6: Final answer
    x = 2,275.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.