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Finding the Fourth Proportional to 2,192.25, 3,287.38 and 631.90

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Solution

The fourth proportional to 2,192.25, 3,287.38 and 631.90 is: 947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.25 : 3,287.38 = 631.90 : x
  2. Step 2: Convert to fraction form
    2,192.25/3,287.38 = 631.90/x
  3. Step 3: Cross multiply
    2,192.25x = 3,287.38 × 631.90
  4. Step 4: Simplify right side
    2,192.25x = 2,077,295.42
  5. Step 5: Solve for x
    x = 2,077,295.42/2,192.25
  6. Step 6: Final answer
    x = 947.56

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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.