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Finding the Fourth Proportional to 2,298.52, 3,171.92 and 1,250.56

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Solution

The fourth proportional to 2,298.52, 3,171.92 and 1,250.56 is: 1,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.52 : 3,171.92 = 1,250.56 : x
  2. Step 2: Convert to fraction form
    2,298.52/3,171.92 = 1,250.56/x
  3. Step 3: Cross multiply
    2,298.52x = 3,171.92 × 1,250.56
  4. Step 4: Simplify right side
    2,298.52x = 3,966,676.28
  5. Step 5: Solve for x
    x = 3,966,676.28/2,298.52
  6. Step 6: Final answer
    x = 1,725.75

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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.