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Finding the Fourth Proportional to 2,680.68, 3,698.04 and 2,209.32

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Solution

The fourth proportional to 2,680.68, 3,698.04 and 2,209.32 is: 3,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.68 : 3,698.04 = 2,209.32 : x
  2. Step 2: Convert to fraction form
    2,680.68/3,698.04 = 2,209.32/x
  3. Step 3: Cross multiply
    2,680.68x = 3,698.04 × 2,209.32
  4. Step 4: Simplify right side
    2,680.68x = 8,170,153.73
  5. Step 5: Solve for x
    x = 8,170,153.73/2,680.68
  6. Step 6: Final answer
    x = 3,047.79

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