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Finding the Fourth Proportional to 2,298.53, 3,171.97 and 1,250.59

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Solution

The fourth proportional to 2,298.53, 3,171.97 and 1,250.59 is: 1,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.53 : 3,171.97 = 1,250.59 : x
  2. Step 2: Convert to fraction form
    2,298.53/3,171.97 = 1,250.59/x
  3. Step 3: Cross multiply
    2,298.53x = 3,171.97 × 1,250.59
  4. Step 4: Simplify right side
    2,298.53x = 3,966,833.96
  5. Step 5: Solve for x
    x = 3,966,833.96/2,298.53
  6. Step 6: Final answer
    x = 1,725.81

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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.