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Finding the Fourth Proportional to 2,498.31, 3,749.14 and 1,037.46

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Solution

The fourth proportional to 2,498.31, 3,749.14 and 1,037.46 is: 1,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.31 : 3,749.14 = 1,037.46 : x
  2. Step 2: Convert to fraction form
    2,498.31/3,749.14 = 1,037.46/x
  3. Step 3: Cross multiply
    2,498.31x = 3,749.14 × 1,037.46
  4. Step 4: Simplify right side
    2,498.31x = 3,889,582.78
  5. Step 5: Solve for x
    x = 3,889,582.78/2,498.31
  6. Step 6: Final answer
    x = 1,556.89

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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.