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Finding the Fourth Proportional to 2,630.06, 3,945.78 and 781.19

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Solution

The fourth proportional to 2,630.06, 3,945.78 and 781.19 is: 1,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.06 : 3,945.78 = 781.19 : x
  2. Step 2: Convert to fraction form
    2,630.06/3,945.78 = 781.19/x
  3. Step 3: Cross multiply
    2,630.06x = 3,945.78 × 781.19
  4. Step 4: Simplify right side
    2,630.06x = 3,082,384.15
  5. Step 5: Solve for x
    x = 3,082,384.15/2,630.06
  6. Step 6: Final answer
    x = 1,171.98

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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.