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Finding the Fourth Proportional to 1,637.90, 2,260.13 and 974.62

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Solution

The fourth proportional to 1,637.90, 2,260.13 and 974.62 is: 1,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.90 : 2,260.13 = 974.62 : x
  2. Step 2: Convert to fraction form
    1,637.90/2,260.13 = 974.62/x
  3. Step 3: Cross multiply
    1,637.90x = 2,260.13 × 974.62
  4. Step 4: Simplify right side
    1,637.90x = 2,202,765.42
  5. Step 5: Solve for x
    x = 2,202,765.42/1,637.90
  6. Step 6: Final answer
    x = 1,344.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.