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Finding the Fourth Proportional to 1,614.56, 2,423.16 and 1,153.44

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Solution

The fourth proportional to 1,614.56, 2,423.16 and 1,153.44 is: 1,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.56 : 2,423.16 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,614.56/2,423.16 = 1,153.44/x
  3. Step 3: Cross multiply
    1,614.56x = 2,423.16 × 1,153.44
  4. Step 4: Simplify right side
    1,614.56x = 2,794,969.67
  5. Step 5: Solve for x
    x = 2,794,969.67/1,614.56
  6. Step 6: Final answer
    x = 1,731.10

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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.