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Finding the Fourth Proportional to 2,702.11, 4,049.11 and 2,084.89

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Solution

The fourth proportional to 2,702.11, 4,049.11 and 2,084.89 is: 3,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.11 : 4,049.11 = 2,084.89 : x
  2. Step 2: Convert to fraction form
    2,702.11/4,049.11 = 2,084.89/x
  3. Step 3: Cross multiply
    2,702.11x = 4,049.11 × 2,084.89
  4. Step 4: Simplify right side
    2,702.11x = 8,441,948.95
  5. Step 5: Solve for x
    x = 8,441,948.95/2,702.11
  6. Step 6: Final answer
    x = 3,124.21

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Why These Related Problems?

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