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Finding the Fourth Proportional to 1,727.26, 2,590.18 and 739.43

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Solution

The fourth proportional to 1,727.26, 2,590.18 and 739.43 is: 1,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.26 : 2,590.18 = 739.43 : x
  2. Step 2: Convert to fraction form
    1,727.26/2,590.18 = 739.43/x
  3. Step 3: Cross multiply
    1,727.26x = 2,590.18 × 739.43
  4. Step 4: Simplify right side
    1,727.26x = 1,915,251.71
  5. Step 5: Solve for x
    x = 1,915,251.71/1,727.26
  6. Step 6: Final answer
    x = 1,108.84

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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.