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Finding the Fourth Proportional to 2,129.32, 3,191.55 and 960.22

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Solution

The fourth proportional to 2,129.32, 3,191.55 and 960.22 is: 1,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.32 : 3,191.55 = 960.22 : x
  2. Step 2: Convert to fraction form
    2,129.32/3,191.55 = 960.22/x
  3. Step 3: Cross multiply
    2,129.32x = 3,191.55 × 960.22
  4. Step 4: Simplify right side
    2,129.32x = 3,064,590.14
  5. Step 5: Solve for x
    x = 3,064,590.14/2,129.32
  6. Step 6: Final answer
    x = 1,439.23

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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.