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Finding the Fourth Proportional to 2,638.10, 3,957.13 and 1,078.83

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Solution

The fourth proportional to 2,638.10, 3,957.13 and 1,078.83 is: 1,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.10 : 3,957.13 = 1,078.83 : x
  2. Step 2: Convert to fraction form
    2,638.10/3,957.13 = 1,078.83/x
  3. Step 3: Cross multiply
    2,638.10x = 3,957.13 × 1,078.83
  4. Step 4: Simplify right side
    2,638.10x = 4,269,070.56
  5. Step 5: Solve for x
    x = 4,269,070.56/2,638.10
  6. Step 6: Final answer
    x = 1,618.24

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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.