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Finding the Fourth Proportional to 2,498.85, 3,747 and 1,182.21

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Solution

The fourth proportional to 2,498.85, 3,747 and 1,182.21 is: 1,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.85 : 3,747 = 1,182.21 : x
  2. Step 2: Convert to fraction form
    2,498.85/3,747 = 1,182.21/x
  3. Step 3: Cross multiply
    2,498.85x = 3,747 × 1,182.21
  4. Step 4: Simplify right side
    2,498.85x = 4,429,740.87
  5. Step 5: Solve for x
    x = 4,429,740.87/2,498.85
  6. Step 6: Final answer
    x = 1,772.71

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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.