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Finding the Fourth Proportional to 2,312.48, 3,469.80 and 1,143.92

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Solution

The fourth proportional to 2,312.48, 3,469.80 and 1,143.92 is: 1,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.48 : 3,469.80 = 1,143.92 : x
  2. Step 2: Convert to fraction form
    2,312.48/3,469.80 = 1,143.92/x
  3. Step 3: Cross multiply
    2,312.48x = 3,469.80 × 1,143.92
  4. Step 4: Simplify right side
    2,312.48x = 3,969,173.62
  5. Step 5: Solve for x
    x = 3,969,173.62/2,312.48
  6. Step 6: Final answer
    x = 1,716.41

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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.