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Finding the Fourth Proportional to 2,614.68, 3,922.92 and 1,639.64

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Solution

The fourth proportional to 2,614.68, 3,922.92 and 1,639.64 is: 2,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.68 : 3,922.92 = 1,639.64 : x
  2. Step 2: Convert to fraction form
    2,614.68/3,922.92 = 1,639.64/x
  3. Step 3: Cross multiply
    2,614.68x = 3,922.92 × 1,639.64
  4. Step 4: Simplify right side
    2,614.68x = 6,432,176.55
  5. Step 5: Solve for x
    x = 6,432,176.55/2,614.68
  6. Step 6: Final answer
    x = 2,460.02

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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.