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Finding the Fourth Proportional to 2,748.43, 4,113.43 and 2,287.14

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Solution

The fourth proportional to 2,748.43, 4,113.43 and 2,287.14 is: 3,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.43 : 4,113.43 = 2,287.14 : x
  2. Step 2: Convert to fraction form
    2,748.43/4,113.43 = 2,287.14/x
  3. Step 3: Cross multiply
    2,748.43x = 4,113.43 × 2,287.14
  4. Step 4: Simplify right side
    2,748.43x = 9,407,982.01
  5. Step 5: Solve for x
    x = 9,407,982.01/2,748.43
  6. Step 6: Final answer
    x = 3,423.04

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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.