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Finding the Fourth Proportional to 2,497.48, 3,738.31 and 1,398.52

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Solution

The fourth proportional to 2,497.48, 3,738.31 and 1,398.52 is: 2,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.48 : 3,738.31 = 1,398.52 : x
  2. Step 2: Convert to fraction form
    2,497.48/3,738.31 = 1,398.52/x
  3. Step 3: Cross multiply
    2,497.48x = 3,738.31 × 1,398.52
  4. Step 4: Simplify right side
    2,497.48x = 5,228,101.30
  5. Step 5: Solve for x
    x = 5,228,101.30/2,497.48
  6. Step 6: Final answer
    x = 2,093.35

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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.