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Finding the Fourth Proportional to 2,630.27, 3,946.01 and 781.34

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Solution

The fourth proportional to 2,630.27, 3,946.01 and 781.34 is: 1,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.27 : 3,946.01 = 781.34 : x
  2. Step 2: Convert to fraction form
    2,630.27/3,946.01 = 781.34/x
  3. Step 3: Cross multiply
    2,630.27x = 3,946.01 × 781.34
  4. Step 4: Simplify right side
    2,630.27x = 3,083,171.55
  5. Step 5: Solve for x
    x = 3,083,171.55/2,630.27
  6. Step 6: Final answer
    x = 1,172.19

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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.