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Finding the Fourth Proportional to 2,809.69, 4,211.12 and 1,988.20

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Solution

The fourth proportional to 2,809.69, 4,211.12 and 1,988.20 is: 2,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.69 : 4,211.12 = 1,988.20 : x
  2. Step 2: Convert to fraction form
    2,809.69/4,211.12 = 1,988.20/x
  3. Step 3: Cross multiply
    2,809.69x = 4,211.12 × 1,988.20
  4. Step 4: Simplify right side
    2,809.69x = 8,372,548.78
  5. Step 5: Solve for x
    x = 8,372,548.78/2,809.69
  6. Step 6: Final answer
    x = 2,979.88

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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.