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Finding the Fourth Proportional to 2,782.33, 4,167.82 and 1,805.47

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Solution

The fourth proportional to 2,782.33, 4,167.82 and 1,805.47 is: 2,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.33 : 4,167.82 = 1,805.47 : x
  2. Step 2: Convert to fraction form
    2,782.33/4,167.82 = 1,805.47/x
  3. Step 3: Cross multiply
    2,782.33x = 4,167.82 × 1,805.47
  4. Step 4: Simplify right side
    2,782.33x = 7,524,873.98
  5. Step 5: Solve for x
    x = 7,524,873.98/2,782.33
  6. Step 6: Final answer
    x = 2,704.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.