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Finding the Fourth Proportional to 2,241.74, 3,093.68 and 1,233.49

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Solution

The fourth proportional to 2,241.74, 3,093.68 and 1,233.49 is: 1,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.74 : 3,093.68 = 1,233.49 : x
  2. Step 2: Convert to fraction form
    2,241.74/3,093.68 = 1,233.49/x
  3. Step 3: Cross multiply
    2,241.74x = 3,093.68 × 1,233.49
  4. Step 4: Simplify right side
    2,241.74x = 3,816,001.71
  5. Step 5: Solve for x
    x = 3,816,001.71/2,241.74
  6. Step 6: Final answer
    x = 1,702.25

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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.