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Finding the Fourth Proportional to 2,866.41, 3,958.00 and 1,805.88

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Solution

The fourth proportional to 2,866.41, 3,958.00 and 1,805.88 is: 2,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.41 : 3,958.00 = 1,805.88 : x
  2. Step 2: Convert to fraction form
    2,866.41/3,958.00 = 1,805.88/x
  3. Step 3: Cross multiply
    2,866.41x = 3,958.00 × 1,805.88
  4. Step 4: Simplify right side
    2,866.41x = 7,147,685.42
  5. Step 5: Solve for x
    x = 7,147,685.42/2,866.41
  6. Step 6: Final answer
    x = 2,493.60

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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.