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Finding the Fourth Proportional to 2,498.12, 3,747.74 and 959.08

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Solution

The fourth proportional to 2,498.12, 3,747.74 and 959.08 is: 1,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.12 : 3,747.74 = 959.08 : x
  2. Step 2: Convert to fraction form
    2,498.12/3,747.74 = 959.08/x
  3. Step 3: Cross multiply
    2,498.12x = 3,747.74 × 959.08
  4. Step 4: Simplify right side
    2,498.12x = 3,594,382.48
  5. Step 5: Solve for x
    x = 3,594,382.48/2,498.12
  6. Step 6: Final answer
    x = 1,438.83

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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.