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Finding the Fourth Proportional to 2,881.37, 3,959.06 and 2,290.88

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Solution

The fourth proportional to 2,881.37, 3,959.06 and 2,290.88 is: 3,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.37 : 3,959.06 = 2,290.88 : x
  2. Step 2: Convert to fraction form
    2,881.37/3,959.06 = 2,290.88/x
  3. Step 3: Cross multiply
    2,881.37x = 3,959.06 × 2,290.88
  4. Step 4: Simplify right side
    2,881.37x = 9,069,729.82
  5. Step 5: Solve for x
    x = 9,069,729.82/2,881.37
  6. Step 6: Final answer
    x = 3,147.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.