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Finding the Fourth Proportional to 2,493.97, 3,741.10 and 1,033.23

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Solution

The fourth proportional to 2,493.97, 3,741.10 and 1,033.23 is: 1,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.97 : 3,741.10 = 1,033.23 : x
  2. Step 2: Convert to fraction form
    2,493.97/3,741.10 = 1,033.23/x
  3. Step 3: Cross multiply
    2,493.97x = 3,741.10 × 1,033.23
  4. Step 4: Simplify right side
    2,493.97x = 3,865,414.17
  5. Step 5: Solve for x
    x = 3,865,414.17/2,493.97
  6. Step 6: Final answer
    x = 1,549.91

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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.