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Finding the Fourth Proportional to 2,295.44, 3,167.96 and 1,399.22

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Solution

The fourth proportional to 2,295.44, 3,167.96 and 1,399.22 is: 1,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.44 : 3,167.96 = 1,399.22 : x
  2. Step 2: Convert to fraction form
    2,295.44/3,167.96 = 1,399.22/x
  3. Step 3: Cross multiply
    2,295.44x = 3,167.96 × 1,399.22
  4. Step 4: Simplify right side
    2,295.44x = 4,432,687.73
  5. Step 5: Solve for x
    x = 4,432,687.73/2,295.44
  6. Step 6: Final answer
    x = 1,931.09

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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.