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Finding the Fourth Proportional to 2,684.52, 3,702.50 and 2,217.96

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Solution

The fourth proportional to 2,684.52, 3,702.50 and 2,217.96 is: 3,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.52 : 3,702.50 = 2,217.96 : x
  2. Step 2: Convert to fraction form
    2,684.52/3,702.50 = 2,217.96/x
  3. Step 3: Cross multiply
    2,684.52x = 3,702.50 × 2,217.96
  4. Step 4: Simplify right side
    2,684.52x = 8,211,996.90
  5. Step 5: Solve for x
    x = 8,211,996.90/2,684.52
  6. Step 6: Final answer
    x = 3,059.02

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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.