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Finding the Fourth Proportional to 1,960.68, 2,939.02 and 1,230.76

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Solution

The fourth proportional to 1,960.68, 2,939.02 and 1,230.76 is: 1,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.68 : 2,939.02 = 1,230.76 : x
  2. Step 2: Convert to fraction form
    1,960.68/2,939.02 = 1,230.76/x
  3. Step 3: Cross multiply
    1,960.68x = 2,939.02 × 1,230.76
  4. Step 4: Simplify right side
    1,960.68x = 3,617,228.26
  5. Step 5: Solve for x
    x = 3,617,228.26/1,960.68
  6. Step 6: Final answer
    x = 1,844.88

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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.