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Finding the Fourth Proportional to 1,727.70, 2,589.46 and 631.47

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Solution

The fourth proportional to 1,727.70, 2,589.46 and 631.47 is: 946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.70 : 2,589.46 = 631.47 : x
  2. Step 2: Convert to fraction form
    1,727.70/2,589.46 = 631.47/x
  3. Step 3: Cross multiply
    1,727.70x = 2,589.46 × 631.47
  4. Step 4: Simplify right side
    1,727.70x = 1,635,166.31
  5. Step 5: Solve for x
    x = 1,635,166.31/1,727.70
  6. Step 6: Final answer
    x = 946.44

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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.