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Finding the Fourth Proportional to 2,346.56, 3,520.49 and 960.89

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Solution

The fourth proportional to 2,346.56, 3,520.49 and 960.89 is: 1,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.56 : 3,520.49 = 960.89 : x
  2. Step 2: Convert to fraction form
    2,346.56/3,520.49 = 960.89/x
  3. Step 3: Cross multiply
    2,346.56x = 3,520.49 × 960.89
  4. Step 4: Simplify right side
    2,346.56x = 3,382,803.64
  5. Step 5: Solve for x
    x = 3,382,803.64/2,346.56
  6. Step 6: Final answer
    x = 1,441.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.