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Finding the Fourth Proportional to 2,146.74, 2,962.23 and 1,250.73

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Solution

The fourth proportional to 2,146.74, 2,962.23 and 1,250.73 is: 1,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.74 : 2,962.23 = 1,250.73 : x
  2. Step 2: Convert to fraction form
    2,146.74/2,962.23 = 1,250.73/x
  3. Step 3: Cross multiply
    2,146.74x = 2,962.23 × 1,250.73
  4. Step 4: Simplify right side
    2,146.74x = 3,704,949.93
  5. Step 5: Solve for x
    x = 3,704,949.93/2,146.74
  6. Step 6: Final answer
    x = 1,725.85

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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.