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Finding the Fourth Proportional to 2,863.99, 3,946.95 and 2,233.52

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Solution

The fourth proportional to 2,863.99, 3,946.95 and 2,233.52 is: 3,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.99 : 3,946.95 = 2,233.52 : x
  2. Step 2: Convert to fraction form
    2,863.99/3,946.95 = 2,233.52/x
  3. Step 3: Cross multiply
    2,863.99x = 3,946.95 × 2,233.52
  4. Step 4: Simplify right side
    2,863.99x = 8,815,593.11
  5. Step 5: Solve for x
    x = 8,815,593.11/2,863.99
  6. Step 6: Final answer
    x = 3,078.09

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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.