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Finding the Fourth Proportional to 2,702.20, 3,728.91 and 1,817.86

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Solution

The fourth proportional to 2,702.20, 3,728.91 and 1,817.86 is: 2,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.20 : 3,728.91 = 1,817.86 : x
  2. Step 2: Convert to fraction form
    2,702.20/3,728.91 = 1,817.86/x
  3. Step 3: Cross multiply
    2,702.20x = 3,728.91 × 1,817.86
  4. Step 4: Simplify right side
    2,702.20x = 6,778,636.33
  5. Step 5: Solve for x
    x = 6,778,636.33/2,702.20
  6. Step 6: Final answer
    x = 2,508.56

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