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Finding the Fourth Proportional to 2,882.86, 4,325.34 and 1,217.41

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Solution

The fourth proportional to 2,882.86, 4,325.34 and 1,217.41 is: 1,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.86 : 4,325.34 = 1,217.41 : x
  2. Step 2: Convert to fraction form
    2,882.86/4,325.34 = 1,217.41/x
  3. Step 3: Cross multiply
    2,882.86x = 4,325.34 × 1,217.41
  4. Step 4: Simplify right side
    2,882.86x = 5,265,712.17
  5. Step 5: Solve for x
    x = 5,265,712.17/2,882.86
  6. Step 6: Final answer
    x = 1,826.56

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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.