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Finding the Fourth Proportional to 2,885.76, 4,327.56 and 1,242.18

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Solution

The fourth proportional to 2,885.76, 4,327.56 and 1,242.18 is: 1,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.76 : 4,327.56 = 1,242.18 : x
  2. Step 2: Convert to fraction form
    2,885.76/4,327.56 = 1,242.18/x
  3. Step 3: Cross multiply
    2,885.76x = 4,327.56 × 1,242.18
  4. Step 4: Simplify right side
    2,885.76x = 5,375,608.48
  5. Step 5: Solve for x
    x = 5,375,608.48/2,885.76
  6. Step 6: Final answer
    x = 1,862.81

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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.