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Finding the Fourth Proportional to 2,146.43, 3,219.17 and 960.59

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Solution

The fourth proportional to 2,146.43, 3,219.17 and 960.59 is: 1,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.43 : 3,219.17 = 960.59 : x
  2. Step 2: Convert to fraction form
    2,146.43/3,219.17 = 960.59/x
  3. Step 3: Cross multiply
    2,146.43x = 3,219.17 × 960.59
  4. Step 4: Simplify right side
    2,146.43x = 3,092,305.76
  5. Step 5: Solve for x
    x = 3,092,305.76/2,146.43
  6. Step 6: Final answer
    x = 1,440.67

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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.