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Finding the Fourth Proportional to 2,781.11, 4,170.25 and 931.56

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Solution

The fourth proportional to 2,781.11, 4,170.25 and 931.56 is: 1,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.11 : 4,170.25 = 931.56 : x
  2. Step 2: Convert to fraction form
    2,781.11/4,170.25 = 931.56/x
  3. Step 3: Cross multiply
    2,781.11x = 4,170.25 × 931.56
  4. Step 4: Simplify right side
    2,781.11x = 3,884,838.09
  5. Step 5: Solve for x
    x = 3,884,838.09/2,781.11
  6. Step 6: Final answer
    x = 1,396.87

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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.