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Finding the Fourth Proportional to 1,609.97, 2,414.96 and 1,033.25

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Solution

The fourth proportional to 1,609.97, 2,414.96 and 1,033.25 is: 1,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.97 : 2,414.96 = 1,033.25 : x
  2. Step 2: Convert to fraction form
    1,609.97/2,414.96 = 1,033.25/x
  3. Step 3: Cross multiply
    1,609.97x = 2,414.96 × 1,033.25
  4. Step 4: Simplify right side
    1,609.97x = 2,495,252.25
  5. Step 5: Solve for x
    x = 2,495,252.25/1,609.97
  6. Step 6: Final answer
    x = 1,549.88

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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.