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Finding the Fourth Proportional to 2,882.59, 4,319.83 and 1,648.15

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Solution

The fourth proportional to 2,882.59, 4,319.83 and 1,648.15 is: 2,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.59 : 4,319.83 = 1,648.15 : x
  2. Step 2: Convert to fraction form
    2,882.59/4,319.83 = 1,648.15/x
  3. Step 3: Cross multiply
    2,882.59x = 4,319.83 × 1,648.15
  4. Step 4: Simplify right side
    2,882.59x = 7,119,727.81
  5. Step 5: Solve for x
    x = 7,119,727.81/2,882.59
  6. Step 6: Final answer
    x = 2,469.91

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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.