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Finding the Fourth Proportional to 2,251.53, 3,106.98 and 1,243.20

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Solution

The fourth proportional to 2,251.53, 3,106.98 and 1,243.20 is: 1,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.53 : 3,106.98 = 1,243.20 : x
  2. Step 2: Convert to fraction form
    2,251.53/3,106.98 = 1,243.20/x
  3. Step 3: Cross multiply
    2,251.53x = 3,106.98 × 1,243.20
  4. Step 4: Simplify right side
    2,251.53x = 3,862,597.54
  5. Step 5: Solve for x
    x = 3,862,597.54/2,251.53
  6. Step 6: Final answer
    x = 1,715.54

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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.