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Finding the Fourth Proportional to 1,609.54, 2,400.24 and 1,432.54

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Solution

The fourth proportional to 1,609.54, 2,400.24 and 1,432.54 is: 2,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.54 : 2,400.24 = 1,432.54 : x
  2. Step 2: Convert to fraction form
    1,609.54/2,400.24 = 1,432.54/x
  3. Step 3: Cross multiply
    1,609.54x = 2,400.24 × 1,432.54
  4. Step 4: Simplify right side
    1,609.54x = 3,438,439.81
  5. Step 5: Solve for x
    x = 3,438,439.81/1,609.54
  6. Step 6: Final answer
    x = 2,136.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.