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Finding the Fourth Proportional to 1,609.41, 2,414.12 and 1,035.93

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Solution

The fourth proportional to 1,609.41, 2,414.12 and 1,035.93 is: 1,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.41 : 2,414.12 = 1,035.93 : x
  2. Step 2: Convert to fraction form
    1,609.41/2,414.12 = 1,035.93/x
  3. Step 3: Cross multiply
    1,609.41x = 2,414.12 × 1,035.93
  4. Step 4: Simplify right side
    1,609.41x = 2,500,854.15
  5. Step 5: Solve for x
    x = 2,500,854.15/1,609.41
  6. Step 6: Final answer
    x = 1,553.90

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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.