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Finding the Fourth Proportional to 2,882.90, 3,977.16 and 2,218.70

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Solution

The fourth proportional to 2,882.90, 3,977.16 and 2,218.70 is: 3,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.90 : 3,977.16 = 2,218.70 : x
  2. Step 2: Convert to fraction form
    2,882.90/3,977.16 = 2,218.70/x
  3. Step 3: Cross multiply
    2,882.90x = 3,977.16 × 2,218.70
  4. Step 4: Simplify right side
    2,882.90x = 8,824,124.89
  5. Step 5: Solve for x
    x = 8,824,124.89/2,882.90
  6. Step 6: Final answer
    x = 3,060.85

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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.