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Finding the Fourth Proportional to 1,963.70, 2,944.84 and 576.69

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Solution

The fourth proportional to 1,963.70, 2,944.84 and 576.69 is: 864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.70 : 2,944.84 = 576.69 : x
  2. Step 2: Convert to fraction form
    1,963.70/2,944.84 = 576.69/x
  3. Step 3: Cross multiply
    1,963.70x = 2,944.84 × 576.69
  4. Step 4: Simplify right side
    1,963.70x = 1,698,259.78
  5. Step 5: Solve for x
    x = 1,698,259.78/1,963.70
  6. Step 6: Final answer
    x = 864.83

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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.