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Finding the Fourth Proportional to 4,663.80, 6,988.41 and 2,198.16

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Solution

The fourth proportional to 4,663.80, 6,988.41 and 2,198.16 is: 3,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.80 : 6,988.41 = 2,198.16 : x
  2. Step 2: Convert to fraction form
    4,663.80/6,988.41 = 2,198.16/x
  3. Step 3: Cross multiply
    4,663.80x = 6,988.41 × 2,198.16
  4. Step 4: Simplify right side
    4,663.80x = 15,361,643.33
  5. Step 5: Solve for x
    x = 15,361,643.33/4,663.80
  6. Step 6: Final answer
    x = 3,293.80

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