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Finding the Fourth Proportional to 2,286.96, 3,428.52 and 919.92

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Solution

The fourth proportional to 2,286.96, 3,428.52 and 919.92 is: 1,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.96 : 3,428.52 = 919.92 : x
  2. Step 2: Convert to fraction form
    2,286.96/3,428.52 = 919.92/x
  3. Step 3: Cross multiply
    2,286.96x = 3,428.52 × 919.92
  4. Step 4: Simplify right side
    2,286.96x = 3,153,964.12
  5. Step 5: Solve for x
    x = 3,153,964.12/2,286.96
  6. Step 6: Final answer
    x = 1,379.11

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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.