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Finding the Fourth Proportional to 2,498.42, 3,748.09 and 1,037.69

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Solution

The fourth proportional to 2,498.42, 3,748.09 and 1,037.69 is: 1,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.42 : 3,748.09 = 1,037.69 : x
  2. Step 2: Convert to fraction form
    2,498.42/3,748.09 = 1,037.69/x
  3. Step 3: Cross multiply
    2,498.42x = 3,748.09 × 1,037.69
  4. Step 4: Simplify right side
    2,498.42x = 3,889,350.18
  5. Step 5: Solve for x
    x = 3,889,350.18/2,498.42
  6. Step 6: Final answer
    x = 1,556.72

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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.