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Finding the Fourth Proportional to 2,694.87, 4,042.29 and 747.07

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Solution

The fourth proportional to 2,694.87, 4,042.29 and 747.07 is: 1,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.87 : 4,042.29 = 747.07 : x
  2. Step 2: Convert to fraction form
    2,694.87/4,042.29 = 747.07/x
  3. Step 3: Cross multiply
    2,694.87x = 4,042.29 × 747.07
  4. Step 4: Simplify right side
    2,694.87x = 3,019,873.59
  5. Step 5: Solve for x
    x = 3,019,873.59/2,694.87
  6. Step 6: Final answer
    x = 1,120.60

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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.