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Finding the Fourth Proportional to 2,128.80, 2,939.12 and 1,344

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Solution

The fourth proportional to 2,128.80, 2,939.12 and 1,344 is: 1,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.80 : 2,939.12 = 1,344 : x
  2. Step 2: Convert to fraction form
    2,128.80/2,939.12 = 1,344/x
  3. Step 3: Cross multiply
    2,128.80x = 2,939.12 × 1,344
  4. Step 4: Simplify right side
    2,128.80x = 3,950,177.28
  5. Step 5: Solve for x
    x = 3,950,177.28/2,128.80
  6. Step 6: Final answer
    x = 1,855.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.