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Finding the Fourth Proportional to 2,498.70, 3,742.86 and 1,183.56

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Solution

The fourth proportional to 2,498.70, 3,742.86 and 1,183.56 is: 1,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.70 : 3,742.86 = 1,183.56 : x
  2. Step 2: Convert to fraction form
    2,498.70/3,742.86 = 1,183.56/x
  3. Step 3: Cross multiply
    2,498.70x = 3,742.86 × 1,183.56
  4. Step 4: Simplify right side
    2,498.70x = 4,429,904.18
  5. Step 5: Solve for x
    x = 4,429,904.18/2,498.70
  6. Step 6: Final answer
    x = 1,772.88

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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.