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Finding the Fourth Proportional to 3,147.80, 4,698.97 and 2,759

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Solution

The fourth proportional to 3,147.80, 4,698.97 and 2,759 is: 4,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.80 : 4,698.97 = 2,759 : x
  2. Step 2: Convert to fraction form
    3,147.80/4,698.97 = 2,759/x
  3. Step 3: Cross multiply
    3,147.80x = 4,698.97 × 2,759
  4. Step 4: Simplify right side
    3,147.80x = 12,964,458.23
  5. Step 5: Solve for x
    x = 12,964,458.23/3,147.80
  6. Step 6: Final answer
    x = 4,118.58

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