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Finding the Fourth Proportional to 2,498.34, 3,747.53 and 1,037.55

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Solution

The fourth proportional to 2,498.34, 3,747.53 and 1,037.55 is: 1,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.34 : 3,747.53 = 1,037.55 : x
  2. Step 2: Convert to fraction form
    2,498.34/3,747.53 = 1,037.55/x
  3. Step 3: Cross multiply
    2,498.34x = 3,747.53 × 1,037.55
  4. Step 4: Simplify right side
    2,498.34x = 3,888,244.56
  5. Step 5: Solve for x
    x = 3,888,244.56/2,498.34
  6. Step 6: Final answer
    x = 1,556.33

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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.