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Finding the Fourth Proportional to 2,779.80, 4,147.95 and 2,713.92

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Solution

The fourth proportional to 2,779.80, 4,147.95 and 2,713.92 is: 4,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.80 : 4,147.95 = 2,713.92 : x
  2. Step 2: Convert to fraction form
    2,779.80/4,147.95 = 2,713.92/x
  3. Step 3: Cross multiply
    2,779.80x = 4,147.95 × 2,713.92
  4. Step 4: Simplify right side
    2,779.80x = 11,257,204.46
  5. Step 5: Solve for x
    x = 11,257,204.46/2,779.80
  6. Step 6: Final answer
    x = 4,049.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.