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Finding the Fourth Proportional to 2,614.31, 3,920.31 and 1,228.04

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Solution

The fourth proportional to 2,614.31, 3,920.31 and 1,228.04 is: 1,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.31 : 3,920.31 = 1,228.04 : x
  2. Step 2: Convert to fraction form
    2,614.31/3,920.31 = 1,228.04/x
  3. Step 3: Cross multiply
    2,614.31x = 3,920.31 × 1,228.04
  4. Step 4: Simplify right side
    2,614.31x = 4,814,297.49
  5. Step 5: Solve for x
    x = 4,814,297.49/2,614.31
  6. Step 6: Final answer
    x = 1,841.52

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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.