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Finding the Fourth Proportional to 2,781.12, 4,171.54 and 701.13

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Solution

The fourth proportional to 2,781.12, 4,171.54 and 701.13 is: 1,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.12 : 4,171.54 = 701.13 : x
  2. Step 2: Convert to fraction form
    2,781.12/4,171.54 = 701.13/x
  3. Step 3: Cross multiply
    2,781.12x = 4,171.54 × 701.13
  4. Step 4: Simplify right side
    2,781.12x = 2,924,791.84
  5. Step 5: Solve for x
    x = 2,924,791.84/2,781.12
  6. Step 6: Final answer
    x = 1,051.66

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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.