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Finding the Fourth Proportional to 1,761.23, 2,641.79 and 720.96

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Solution

The fourth proportional to 1,761.23, 2,641.79 and 720.96 is: 1,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.23 : 2,641.79 = 720.96 : x
  2. Step 2: Convert to fraction form
    1,761.23/2,641.79 = 720.96/x
  3. Step 3: Cross multiply
    1,761.23x = 2,641.79 × 720.96
  4. Step 4: Simplify right side
    1,761.23x = 1,904,624.92
  5. Step 5: Solve for x
    x = 1,904,624.92/1,761.23
  6. Step 6: Final answer
    x = 1,081.42

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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.