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Finding the Fourth Proportional to 2,778.71, 3,833.73 and 1,599.35

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Solution

The fourth proportional to 2,778.71, 3,833.73 and 1,599.35 is: 2,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.71 : 3,833.73 = 1,599.35 : x
  2. Step 2: Convert to fraction form
    2,778.71/3,833.73 = 1,599.35/x
  3. Step 3: Cross multiply
    2,778.71x = 3,833.73 × 1,599.35
  4. Step 4: Simplify right side
    2,778.71x = 6,131,456.91
  5. Step 5: Solve for x
    x = 6,131,456.91/2,778.71
  6. Step 6: Final answer
    x = 2,206.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.