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Finding the Fourth Proportional to 1,609.46, 2,411.78 and 1,171.54

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Solution

The fourth proportional to 1,609.46, 2,411.78 and 1,171.54 is: 1,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.46 : 2,411.78 = 1,171.54 : x
  2. Step 2: Convert to fraction form
    1,609.46/2,411.78 = 1,171.54/x
  3. Step 3: Cross multiply
    1,609.46x = 2,411.78 × 1,171.54
  4. Step 4: Simplify right side
    1,609.46x = 2,825,496.74
  5. Step 5: Solve for x
    x = 2,825,496.74/1,609.46
  6. Step 6: Final answer
    x = 1,755.56

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