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Finding the Fourth Proportional to 2,131.38, 2,940.84 and 1,542.78

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Solution

The fourth proportional to 2,131.38, 2,940.84 and 1,542.78 is: 2,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.38 : 2,940.84 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    2,131.38/2,940.84 = 1,542.78/x
  3. Step 3: Cross multiply
    2,131.38x = 2,940.84 × 1,542.78
  4. Step 4: Simplify right side
    2,131.38x = 4,537,069.14
  5. Step 5: Solve for x
    x = 4,537,069.14/2,131.38
  6. Step 6: Final answer
    x = 2,128.70

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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.