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Finding the Fourth Proportional to 2,882.56, 4,325.40 and 2,015.20

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Solution

The fourth proportional to 2,882.56, 4,325.40 and 2,015.20 is: 3,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.56 : 4,325.40 = 2,015.20 : x
  2. Step 2: Convert to fraction form
    2,882.56/4,325.40 = 2,015.20/x
  3. Step 3: Cross multiply
    2,882.56x = 4,325.40 × 2,015.20
  4. Step 4: Simplify right side
    2,882.56x = 8,716,546.08
  5. Step 5: Solve for x
    x = 8,716,546.08/2,882.56
  6. Step 6: Final answer
    x = 3,023.89

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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.