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Finding the Fourth Proportional to 2,427.12, 3,638.16 and 1,255.68

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Solution

The fourth proportional to 2,427.12, 3,638.16 and 1,255.68 is: 1,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.12 : 3,638.16 = 1,255.68 : x
  2. Step 2: Convert to fraction form
    2,427.12/3,638.16 = 1,255.68/x
  3. Step 3: Cross multiply
    2,427.12x = 3,638.16 × 1,255.68
  4. Step 4: Simplify right side
    2,427.12x = 4,568,364.75
  5. Step 5: Solve for x
    x = 4,568,364.75/2,427.12
  6. Step 6: Final answer
    x = 1,882.22

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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.