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Finding the Fourth Proportional to 2,239.65, 3,361.17 and 1,614.65

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Solution

The fourth proportional to 2,239.65, 3,361.17 and 1,614.65 is: 2,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.65 : 3,361.17 = 1,614.65 : x
  2. Step 2: Convert to fraction form
    2,239.65/3,361.17 = 1,614.65/x
  3. Step 3: Cross multiply
    2,239.65x = 3,361.17 × 1,614.65
  4. Step 4: Simplify right side
    2,239.65x = 5,427,096.33
  5. Step 5: Solve for x
    x = 5,427,096.33/2,239.65
  6. Step 6: Final answer
    x = 2,423.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.