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Finding the Fourth Proportional to 2,630.75, 3,946.12 and 781.85

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Solution

The fourth proportional to 2,630.75, 3,946.12 and 781.85 is: 1,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.75 : 3,946.12 = 781.85 : x
  2. Step 2: Convert to fraction form
    2,630.75/3,946.12 = 781.85/x
  3. Step 3: Cross multiply
    2,630.75x = 3,946.12 × 781.85
  4. Step 4: Simplify right side
    2,630.75x = 3,085,281.83
  5. Step 5: Solve for x
    x = 3,085,281.83/2,630.75
  6. Step 6: Final answer
    x = 1,172.78

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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.