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Finding the Fourth Proportional to 2,248.31, 3,102.50 and 1,253.54

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Solution

The fourth proportional to 2,248.31, 3,102.50 and 1,253.54 is: 1,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.31 : 3,102.50 = 1,253.54 : x
  2. Step 2: Convert to fraction form
    2,248.31/3,102.50 = 1,253.54/x
  3. Step 3: Cross multiply
    2,248.31x = 3,102.50 × 1,253.54
  4. Step 4: Simplify right side
    2,248.31x = 3,889,086.07
  5. Step 5: Solve for x
    x = 3,889,086.07/2,248.31
  6. Step 6: Final answer
    x = 1,729.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.