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Finding the Fourth Proportional to 1,609.54, 2,414.41 and 731.90

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Solution

The fourth proportional to 1,609.54, 2,414.41 and 731.90 is: 1,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.54 : 2,414.41 = 731.90 : x
  2. Step 2: Convert to fraction form
    1,609.54/2,414.41 = 731.90/x
  3. Step 3: Cross multiply
    1,609.54x = 2,414.41 × 731.90
  4. Step 4: Simplify right side
    1,609.54x = 1,767,110.89
  5. Step 5: Solve for x
    x = 1,767,110.89/1,609.54
  6. Step 6: Final answer
    x = 1,097.90

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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.