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Finding the Fourth Proportional to 2,638.62, 3,639.96 and 2,451

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Solution

The fourth proportional to 2,638.62, 3,639.96 and 2,451 is: 3,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.62 : 3,639.96 = 2,451 : x
  2. Step 2: Convert to fraction form
    2,638.62/3,639.96 = 2,451/x
  3. Step 3: Cross multiply
    2,638.62x = 3,639.96 × 2,451
  4. Step 4: Simplify right side
    2,638.62x = 8,921,541.96
  5. Step 5: Solve for x
    x = 8,921,541.96/2,638.62
  6. Step 6: Final answer
    x = 3,381.14

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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.