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Finding the Fourth Proportional to 2,469.81, 3,706.55 and 1,171.29

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Solution

The fourth proportional to 2,469.81, 3,706.55 and 1,171.29 is: 1,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.81 : 3,706.55 = 1,171.29 : x
  2. Step 2: Convert to fraction form
    2,469.81/3,706.55 = 1,171.29/x
  3. Step 3: Cross multiply
    2,469.81x = 3,706.55 × 1,171.29
  4. Step 4: Simplify right side
    2,469.81x = 4,341,444.95
  5. Step 5: Solve for x
    x = 4,341,444.95/2,469.81
  6. Step 6: Final answer
    x = 1,757.81

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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.