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Finding the Fourth Proportional to 2,778.72, 4,168.42 and 931.16

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Solution

The fourth proportional to 2,778.72, 4,168.42 and 931.16 is: 1,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.72 : 4,168.42 = 931.16 : x
  2. Step 2: Convert to fraction form
    2,778.72/4,168.42 = 931.16/x
  3. Step 3: Cross multiply
    2,778.72x = 4,168.42 × 931.16
  4. Step 4: Simplify right side
    2,778.72x = 3,881,465.97
  5. Step 5: Solve for x
    x = 3,881,465.97/2,778.72
  6. Step 6: Final answer
    x = 1,396.85

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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.