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Finding the Fourth Proportional to 2,782.38, 4,174.23 and 1,320.78

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Solution

The fourth proportional to 2,782.38, 4,174.23 and 1,320.78 is: 1,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.38 : 4,174.23 = 1,320.78 : x
  2. Step 2: Convert to fraction form
    2,782.38/4,174.23 = 1,320.78/x
  3. Step 3: Cross multiply
    2,782.38x = 4,174.23 × 1,320.78
  4. Step 4: Simplify right side
    2,782.38x = 5,513,239.50
  5. Step 5: Solve for x
    x = 5,513,239.50/2,782.38
  6. Step 6: Final answer
    x = 1,981.48

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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.