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Finding the Fourth Proportional to 3,144.11, 4,343.30 and 2,978.04

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Solution

The fourth proportional to 3,144.11, 4,343.30 and 2,978.04 is: 4,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.11 : 4,343.30 = 2,978.04 : x
  2. Step 2: Convert to fraction form
    3,144.11/4,343.30 = 2,978.04/x
  3. Step 3: Cross multiply
    3,144.11x = 4,343.30 × 2,978.04
  4. Step 4: Simplify right side
    3,144.11x = 12,934,528.58
  5. Step 5: Solve for x
    x = 12,934,528.58/3,144.11
  6. Step 6: Final answer
    x = 4,113.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.