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Finding the Fourth Proportional to 2,737.97, 4,107.61 and 790.16

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Solution

The fourth proportional to 2,737.97, 4,107.61 and 790.16 is: 1,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.97 : 4,107.61 = 790.16 : x
  2. Step 2: Convert to fraction form
    2,737.97/4,107.61 = 790.16/x
  3. Step 3: Cross multiply
    2,737.97x = 4,107.61 × 790.16
  4. Step 4: Simplify right side
    2,737.97x = 3,245,649.57
  5. Step 5: Solve for x
    x = 3,245,649.57/2,737.97
  6. Step 6: Final answer
    x = 1,185.42

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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.