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Finding the Fourth Proportional to 2,918.76, 4,027.91 and 1,659.82

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Solution

The fourth proportional to 2,918.76, 4,027.91 and 1,659.82 is: 2,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.76 : 4,027.91 = 1,659.82 : x
  2. Step 2: Convert to fraction form
    2,918.76/4,027.91 = 1,659.82/x
  3. Step 3: Cross multiply
    2,918.76x = 4,027.91 × 1,659.82
  4. Step 4: Simplify right side
    2,918.76x = 6,685,605.58
  5. Step 5: Solve for x
    x = 6,685,605.58/2,918.76
  6. Step 6: Final answer
    x = 2,290.56

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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.