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Finding the Fourth Proportional to 1,727.02, 2,591.52 and 631.24

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Solution

The fourth proportional to 1,727.02, 2,591.52 and 631.24 is: 947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.02 : 2,591.52 = 631.24 : x
  2. Step 2: Convert to fraction form
    1,727.02/2,591.52 = 631.24/x
  3. Step 3: Cross multiply
    1,727.02x = 2,591.52 × 631.24
  4. Step 4: Simplify right side
    1,727.02x = 1,635,871.08
  5. Step 5: Solve for x
    x = 1,635,871.08/1,727.02
  6. Step 6: Final answer
    x = 947.22

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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.