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Finding the Fourth Proportional to 2,498.62, 3,748.49 and 959.58

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Solution

The fourth proportional to 2,498.62, 3,748.49 and 959.58 is: 1,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.62 : 3,748.49 = 959.58 : x
  2. Step 2: Convert to fraction form
    2,498.62/3,748.49 = 959.58/x
  3. Step 3: Cross multiply
    2,498.62x = 3,748.49 × 959.58
  4. Step 4: Simplify right side
    2,498.62x = 3,596,976.03
  5. Step 5: Solve for x
    x = 3,596,976.03/2,498.62
  6. Step 6: Final answer
    x = 1,439.59

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