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Finding the Fourth Proportional to 2,579.86, 3,870.02 and 731.17

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Solution

The fourth proportional to 2,579.86, 3,870.02 and 731.17 is: 1,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.86 : 3,870.02 = 731.17 : x
  2. Step 2: Convert to fraction form
    2,579.86/3,870.02 = 731.17/x
  3. Step 3: Cross multiply
    2,579.86x = 3,870.02 × 731.17
  4. Step 4: Simplify right side
    2,579.86x = 2,829,634.68
  5. Step 5: Solve for x
    x = 2,829,634.68/2,579.86
  6. Step 6: Final answer
    x = 1,096.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.