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Finding the Fourth Proportional to 2,049.68, 2,826.32 and 1,385.38

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Solution

The fourth proportional to 2,049.68, 2,826.32 and 1,385.38 is: 1,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.68 : 2,826.32 = 1,385.38 : x
  2. Step 2: Convert to fraction form
    2,049.68/2,826.32 = 1,385.38/x
  3. Step 3: Cross multiply
    2,049.68x = 2,826.32 × 1,385.38
  4. Step 4: Simplify right side
    2,049.68x = 3,915,527.20
  5. Step 5: Solve for x
    x = 3,915,527.20/2,049.68
  6. Step 6: Final answer
    x = 1,910.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.