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Finding the Fourth Proportional to 2,891.72, 3,989.22 and 1,712.78

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Solution

The fourth proportional to 2,891.72, 3,989.22 and 1,712.78 is: 2,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.72 : 3,989.22 = 1,712.78 : x
  2. Step 2: Convert to fraction form
    2,891.72/3,989.22 = 1,712.78/x
  3. Step 3: Cross multiply
    2,891.72x = 3,989.22 × 1,712.78
  4. Step 4: Simplify right side
    2,891.72x = 6,832,656.23
  5. Step 5: Solve for x
    x = 6,832,656.23/2,891.72
  6. Step 6: Final answer
    x = 2,362.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.