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Finding the Fourth Proportional to 1,949.81, 2,922.48 and 960.53

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Solution

The fourth proportional to 1,949.81, 2,922.48 and 960.53 is: 1,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.81 : 2,922.48 = 960.53 : x
  2. Step 2: Convert to fraction form
    1,949.81/2,922.48 = 960.53/x
  3. Step 3: Cross multiply
    1,949.81x = 2,922.48 × 960.53
  4. Step 4: Simplify right side
    1,949.81x = 2,807,115.10
  5. Step 5: Solve for x
    x = 2,807,115.10/1,949.81
  6. Step 6: Final answer
    x = 1,439.69

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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.