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Finding the Fourth Proportional to 2,627.92, 3,937.47 and 1,309.87

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Solution

The fourth proportional to 2,627.92, 3,937.47 and 1,309.87 is: 1,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.92 : 3,937.47 = 1,309.87 : x
  2. Step 2: Convert to fraction form
    2,627.92/3,937.47 = 1,309.87/x
  3. Step 3: Cross multiply
    2,627.92x = 3,937.47 × 1,309.87
  4. Step 4: Simplify right side
    2,627.92x = 5,157,573.83
  5. Step 5: Solve for x
    x = 5,157,573.83/2,627.92
  6. Step 6: Final answer
    x = 1,962.61

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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.