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Finding the Fourth Proportional to 2,890.98, 3,987.09 and 1,843.38

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Solution

The fourth proportional to 2,890.98, 3,987.09 and 1,843.38 is: 2,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.98 : 3,987.09 = 1,843.38 : x
  2. Step 2: Convert to fraction form
    2,890.98/3,987.09 = 1,843.38/x
  3. Step 3: Cross multiply
    2,890.98x = 3,987.09 × 1,843.38
  4. Step 4: Simplify right side
    2,890.98x = 7,349,721.96
  5. Step 5: Solve for x
    x = 7,349,721.96/2,890.98
  6. Step 6: Final answer
    x = 2,542.29

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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.