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Finding the Fourth Proportional to 2,084.13, 2,876.13 and 1,199.97

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Solution

The fourth proportional to 2,084.13, 2,876.13 and 1,199.97 is: 1,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.13 : 2,876.13 = 1,199.97 : x
  2. Step 2: Convert to fraction form
    2,084.13/2,876.13 = 1,199.97/x
  3. Step 3: Cross multiply
    2,084.13x = 2,876.13 × 1,199.97
  4. Step 4: Simplify right side
    2,084.13x = 3,451,269.72
  5. Step 5: Solve for x
    x = 3,451,269.72/2,084.13
  6. Step 6: Final answer
    x = 1,655.98

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Why These Related Problems?

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