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Finding the Fourth Proportional to 2,638.32, 3,957.48 and 2,115.90

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Solution

The fourth proportional to 2,638.32, 3,957.48 and 2,115.90 is: 3,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.32 : 3,957.48 = 2,115.90 : x
  2. Step 2: Convert to fraction form
    2,638.32/3,957.48 = 2,115.90/x
  3. Step 3: Cross multiply
    2,638.32x = 3,957.48 × 2,115.90
  4. Step 4: Simplify right side
    2,638.32x = 8,373,631.93
  5. Step 5: Solve for x
    x = 8,373,631.93/2,638.32
  6. Step 6: Final answer
    x = 3,173.85

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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.