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Finding the Fourth Proportional to 2,882.58, 3,978.90 and 2,136.30

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Solution

The fourth proportional to 2,882.58, 3,978.90 and 2,136.30 is: 2,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.58 : 3,978.90 = 2,136.30 : x
  2. Step 2: Convert to fraction form
    2,882.58/3,978.90 = 2,136.30/x
  3. Step 3: Cross multiply
    2,882.58x = 3,978.90 × 2,136.30
  4. Step 4: Simplify right side
    2,882.58x = 8,500,124.07
  5. Step 5: Solve for x
    x = 8,500,124.07/2,882.58
  6. Step 6: Final answer
    x = 2,948.79

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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.