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Finding the Fourth Proportional to 2,150.96, 2,968.32 and 1,255.31

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Solution

The fourth proportional to 2,150.96, 2,968.32 and 1,255.31 is: 1,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.96 : 2,968.32 = 1,255.31 : x
  2. Step 2: Convert to fraction form
    2,150.96/2,968.32 = 1,255.31/x
  3. Step 3: Cross multiply
    2,150.96x = 2,968.32 × 1,255.31
  4. Step 4: Simplify right side
    2,150.96x = 3,726,158.07
  5. Step 5: Solve for x
    x = 3,726,158.07/2,150.96
  6. Step 6: Final answer
    x = 1,732.33

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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.