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Finding the Fourth Proportional to 2,895.76, 3,993.60 and 2,336

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Solution

The fourth proportional to 2,895.76, 3,993.60 and 2,336 is: 3,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.76 : 3,993.60 = 2,336 : x
  2. Step 2: Convert to fraction form
    2,895.76/3,993.60 = 2,336/x
  3. Step 3: Cross multiply
    2,895.76x = 3,993.60 × 2,336
  4. Step 4: Simplify right side
    2,895.76x = 9,329,049.60
  5. Step 5: Solve for x
    x = 9,329,049.60/2,895.76
  6. Step 6: Final answer
    x = 3,221.62

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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.