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Finding the Fourth Proportional to 2,638.64, 3,959.31 and 1,340.12

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Solution

The fourth proportional to 2,638.64, 3,959.31 and 1,340.12 is: 2,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.64 : 3,959.31 = 1,340.12 : x
  2. Step 2: Convert to fraction form
    2,638.64/3,959.31 = 1,340.12/x
  3. Step 3: Cross multiply
    2,638.64x = 3,959.31 × 1,340.12
  4. Step 4: Simplify right side
    2,638.64x = 5,305,950.52
  5. Step 5: Solve for x
    x = 5,305,950.52/2,638.64
  6. Step 6: Final answer
    x = 2,010.87

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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.