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Finding the Fourth Proportional to 2,498.07, 3,737.69 and 1,493.70

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Solution

The fourth proportional to 2,498.07, 3,737.69 and 1,493.70 is: 2,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.07 : 3,737.69 = 1,493.70 : x
  2. Step 2: Convert to fraction form
    2,498.07/3,737.69 = 1,493.70/x
  3. Step 3: Cross multiply
    2,498.07x = 3,737.69 × 1,493.70
  4. Step 4: Simplify right side
    2,498.07x = 5,582,987.55
  5. Step 5: Solve for x
    x = 5,582,987.55/2,498.07
  6. Step 6: Final answer
    x = 2,234.92

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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.