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Finding the Fourth Proportional to 1,617.27, 2,426.18 and 643.44

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Solution

The fourth proportional to 1,617.27, 2,426.18 and 643.44 is: 965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.27 : 2,426.18 = 643.44 : x
  2. Step 2: Convert to fraction form
    1,617.27/2,426.18 = 643.44/x
  3. Step 3: Cross multiply
    1,617.27x = 2,426.18 × 643.44
  4. Step 4: Simplify right side
    1,617.27x = 1,561,098.04
  5. Step 5: Solve for x
    x = 1,561,098.04/1,617.27
  6. Step 6: Final answer
    x = 965.27

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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.