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Finding the Fourth Proportional to 2,297.95, 3,171.23 and 1,250.02

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Solution

The fourth proportional to 2,297.95, 3,171.23 and 1,250.02 is: 1,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.95 : 3,171.23 = 1,250.02 : x
  2. Step 2: Convert to fraction form
    2,297.95/3,171.23 = 1,250.02/x
  3. Step 3: Cross multiply
    2,297.95x = 3,171.23 × 1,250.02
  4. Step 4: Simplify right side
    2,297.95x = 3,964,100.92
  5. Step 5: Solve for x
    x = 3,964,100.92/2,297.95
  6. Step 6: Final answer
    x = 1,725.06

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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.