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Finding the Fourth Proportional to 2,346.57, 3,520.77 and 960.56

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Solution

The fourth proportional to 2,346.57, 3,520.77 and 960.56 is: 1,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.57 : 3,520.77 = 960.56 : x
  2. Step 2: Convert to fraction form
    2,346.57/3,520.77 = 960.56/x
  3. Step 3: Cross multiply
    2,346.57x = 3,520.77 × 960.56
  4. Step 4: Simplify right side
    2,346.57x = 3,381,902.83
  5. Step 5: Solve for x
    x = 3,381,902.83/2,346.57
  6. Step 6: Final answer
    x = 1,441.21

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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.