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Finding the Fourth Proportional to 1,761.71, 2,429.24 and 1,098.32

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Solution

The fourth proportional to 1,761.71, 2,429.24 and 1,098.32 is: 1,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.71 : 2,429.24 = 1,098.32 : x
  2. Step 2: Convert to fraction form
    1,761.71/2,429.24 = 1,098.32/x
  3. Step 3: Cross multiply
    1,761.71x = 2,429.24 × 1,098.32
  4. Step 4: Simplify right side
    1,761.71x = 2,668,065.24
  5. Step 5: Solve for x
    x = 2,668,065.24/1,761.71
  6. Step 6: Final answer
    x = 1,514.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.