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Finding the Fourth Proportional to 1,344.18, 2,015.59 and 614.27

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Solution

The fourth proportional to 1,344.18, 2,015.59 and 614.27 is: 921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.18 : 2,015.59 = 614.27 : x
  2. Step 2: Convert to fraction form
    1,344.18/2,015.59 = 614.27/x
  3. Step 3: Cross multiply
    1,344.18x = 2,015.59 × 614.27
  4. Step 4: Simplify right side
    1,344.18x = 1,238,116.47
  5. Step 5: Solve for x
    x = 1,238,116.47/1,344.18
  6. Step 6: Final answer
    x = 921.09

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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.