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Finding the Fourth Proportional to 2,243.94, 3,366.59 and 1,149.08

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Solution

The fourth proportional to 2,243.94, 3,366.59 and 1,149.08 is: 1,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.94 : 3,366.59 = 1,149.08 : x
  2. Step 2: Convert to fraction form
    2,243.94/3,366.59 = 1,149.08/x
  3. Step 3: Cross multiply
    2,243.94x = 3,366.59 × 1,149.08
  4. Step 4: Simplify right side
    2,243.94x = 3,868,464.40
  5. Step 5: Solve for x
    x = 3,868,464.40/2,243.94
  6. Step 6: Final answer
    x = 1,723.96

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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.