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Finding the Fourth Proportional to 3,026.50, 4,178.49 and 2,711.20

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Solution

The fourth proportional to 3,026.50, 4,178.49 and 2,711.20 is: 3,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.50 : 4,178.49 = 2,711.20 : x
  2. Step 2: Convert to fraction form
    3,026.50/4,178.49 = 2,711.20/x
  3. Step 3: Cross multiply
    3,026.50x = 4,178.49 × 2,711.20
  4. Step 4: Simplify right side
    3,026.50x = 11,328,722.09
  5. Step 5: Solve for x
    x = 11,328,722.09/3,026.50
  6. Step 6: Final answer
    x = 3,743.18

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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.