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Finding the Fourth Proportional to 2,298.51, 3,171.87 and 1,250.57

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Solution

The fourth proportional to 2,298.51, 3,171.87 and 1,250.57 is: 1,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.51 : 3,171.87 = 1,250.57 : x
  2. Step 2: Convert to fraction form
    2,298.51/3,171.87 = 1,250.57/x
  3. Step 3: Cross multiply
    2,298.51x = 3,171.87 × 1,250.57
  4. Step 4: Simplify right side
    2,298.51x = 3,966,629.61
  5. Step 5: Solve for x
    x = 3,966,629.61/2,298.51
  6. Step 6: Final answer
    x = 1,725.74

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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.