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Finding the Fourth Proportional to 2,817.46, 4,227.16 and 1,258.54

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Solution

The fourth proportional to 2,817.46, 4,227.16 and 1,258.54 is: 1,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.46 : 4,227.16 = 1,258.54 : x
  2. Step 2: Convert to fraction form
    2,817.46/4,227.16 = 1,258.54/x
  3. Step 3: Cross multiply
    2,817.46x = 4,227.16 × 1,258.54
  4. Step 4: Simplify right side
    2,817.46x = 5,320,049.95
  5. Step 5: Solve for x
    x = 5,320,049.95/2,817.46
  6. Step 6: Final answer
    x = 1,888.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.