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Finding the Fourth Proportional to 2,882.38, 4,318.10 and 1,709.90

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Solution

The fourth proportional to 2,882.38, 4,318.10 and 1,709.90 is: 2,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.38 : 4,318.10 = 1,709.90 : x
  2. Step 2: Convert to fraction form
    2,882.38/4,318.10 = 1,709.90/x
  3. Step 3: Cross multiply
    2,882.38x = 4,318.10 × 1,709.90
  4. Step 4: Simplify right side
    2,882.38x = 7,383,534.11
  5. Step 5: Solve for x
    x = 7,383,534.11/2,882.38
  6. Step 6: Final answer
    x = 2,561.61

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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.