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Finding the Fourth Proportional to 2,249.29, 3,104.04 and 1,364.89

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Solution

The fourth proportional to 2,249.29, 3,104.04 and 1,364.89 is: 1,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.29 : 3,104.04 = 1,364.89 : x
  2. Step 2: Convert to fraction form
    2,249.29/3,104.04 = 1,364.89/x
  3. Step 3: Cross multiply
    2,249.29x = 3,104.04 × 1,364.89
  4. Step 4: Simplify right side
    2,249.29x = 4,236,673.16
  5. Step 5: Solve for x
    x = 4,236,673.16/2,249.29
  6. Step 6: Final answer
    x = 1,883.56

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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.