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Finding the Fourth Proportional to 2,665.31, 3,992.15 and 2,197.83

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Solution

The fourth proportional to 2,665.31, 3,992.15 and 2,197.83 is: 3,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.31 : 3,992.15 = 2,197.83 : x
  2. Step 2: Convert to fraction form
    2,665.31/3,992.15 = 2,197.83/x
  3. Step 3: Cross multiply
    2,665.31x = 3,992.15 × 2,197.83
  4. Step 4: Simplify right side
    2,665.31x = 8,774,056.05
  5. Step 5: Solve for x
    x = 8,774,056.05/2,665.31
  6. Step 6: Final answer
    x = 3,291.95

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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.