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Finding the Fourth Proportional to 2,685.66, 4,028.85 and 931.11

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Solution

The fourth proportional to 2,685.66, 4,028.85 and 931.11 is: 1,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.66 : 4,028.85 = 931.11 : x
  2. Step 2: Convert to fraction form
    2,685.66/4,028.85 = 931.11/x
  3. Step 3: Cross multiply
    2,685.66x = 4,028.85 × 931.11
  4. Step 4: Simplify right side
    2,685.66x = 3,751,302.52
  5. Step 5: Solve for x
    x = 3,751,302.52/2,685.66
  6. Step 6: Final answer
    x = 1,396.79

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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.