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Finding the Fourth Proportional to 2,884.78, 3,980.91 and 1,625.91

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Solution

The fourth proportional to 2,884.78, 3,980.91 and 1,625.91 is: 2,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.78 : 3,980.91 = 1,625.91 : x
  2. Step 2: Convert to fraction form
    2,884.78/3,980.91 = 1,625.91/x
  3. Step 3: Cross multiply
    2,884.78x = 3,980.91 × 1,625.91
  4. Step 4: Simplify right side
    2,884.78x = 6,472,601.38
  5. Step 5: Solve for x
    x = 6,472,601.38/2,884.78
  6. Step 6: Final answer
    x = 2,243.71

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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.