Home / 2,882.28-3,977.46-2,099.64

Finding the Fourth Proportional to 2,882.28, 3,977.46 and 2,099.64

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Solution

The fourth proportional to 2,882.28, 3,977.46 and 2,099.64 is: 2,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.28 : 3,977.46 = 2,099.64 : x
  2. Step 2: Convert to fraction form
    2,882.28/3,977.46 = 2,099.64/x
  3. Step 3: Cross multiply
    2,882.28x = 3,977.46 × 2,099.64
  4. Step 4: Simplify right side
    2,882.28x = 8,351,234.11
  5. Step 5: Solve for x
    x = 8,351,234.11/2,882.28
  6. Step 6: Final answer
    x = 2,897.44

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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.