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Finding the Fourth Proportional to 2,891.40, 4,337.10 and 2,769.90

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Solution

The fourth proportional to 2,891.40, 4,337.10 and 2,769.90 is: 4,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.40 : 4,337.10 = 2,769.90 : x
  2. Step 2: Convert to fraction form
    2,891.40/4,337.10 = 2,769.90/x
  3. Step 3: Cross multiply
    2,891.40x = 4,337.10 × 2,769.90
  4. Step 4: Simplify right side
    2,891.40x = 12,013,333.29
  5. Step 5: Solve for x
    x = 12,013,333.29/2,891.40
  6. Step 6: Final answer
    x = 4,154.85

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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.