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Finding the Fourth Proportional to 1,983.38, 2,975.58 and 750.83

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Solution

The fourth proportional to 1,983.38, 2,975.58 and 750.83 is: 1,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.38 : 2,975.58 = 750.83 : x
  2. Step 2: Convert to fraction form
    1,983.38/2,975.58 = 750.83/x
  3. Step 3: Cross multiply
    1,983.38x = 2,975.58 × 750.83
  4. Step 4: Simplify right side
    1,983.38x = 2,234,139.85
  5. Step 5: Solve for x
    x = 2,234,139.85/1,983.38
  6. Step 6: Final answer
    x = 1,126.43

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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.