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Finding the Fourth Proportional to 3,231.95, 4,460.31 and 1,815.75

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Solution

The fourth proportional to 3,231.95, 4,460.31 and 1,815.75 is: 2,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.95 : 4,460.31 = 1,815.75 : x
  2. Step 2: Convert to fraction form
    3,231.95/4,460.31 = 1,815.75/x
  3. Step 3: Cross multiply
    3,231.95x = 4,460.31 × 1,815.75
  4. Step 4: Simplify right side
    3,231.95x = 8,098,807.88
  5. Step 5: Solve for x
    x = 8,098,807.88/3,231.95
  6. Step 6: Final answer
    x = 2,505.86

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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.