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Finding the Fourth Proportional to 2,895.29, 3,993.69 and 2,138.30

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Solution

The fourth proportional to 2,895.29, 3,993.69 and 2,138.30 is: 2,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.29 : 3,993.69 = 2,138.30 : x
  2. Step 2: Convert to fraction form
    2,895.29/3,993.69 = 2,138.30/x
  3. Step 3: Cross multiply
    2,895.29x = 3,993.69 × 2,138.30
  4. Step 4: Simplify right side
    2,895.29x = 8,539,707.33
  5. Step 5: Solve for x
    x = 8,539,707.33/2,895.29
  6. Step 6: Final answer
    x = 2,949.52

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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.