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Finding the Fourth Proportional to 2,879.28, 4,313.28 and 1,902.48

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Solution

The fourth proportional to 2,879.28, 4,313.28 and 1,902.48 is: 2,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.28 : 4,313.28 = 1,902.48 : x
  2. Step 2: Convert to fraction form
    2,879.28/4,313.28 = 1,902.48/x
  3. Step 3: Cross multiply
    2,879.28x = 4,313.28 × 1,902.48
  4. Step 4: Simplify right side
    2,879.28x = 8,205,928.93
  5. Step 5: Solve for x
    x = 8,205,928.93/2,879.28
  6. Step 6: Final answer
    x = 2,849.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.