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Finding the Fourth Proportional to 2,249.76, 3,369.12 and 1,857.36

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Solution

The fourth proportional to 2,249.76, 3,369.12 and 1,857.36 is: 2,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.76 : 3,369.12 = 1,857.36 : x
  2. Step 2: Convert to fraction form
    2,249.76/3,369.12 = 1,857.36/x
  3. Step 3: Cross multiply
    2,249.76x = 3,369.12 × 1,857.36
  4. Step 4: Simplify right side
    2,249.76x = 6,257,668.72
  5. Step 5: Solve for x
    x = 6,257,668.72/2,249.76
  6. Step 6: Final answer
    x = 2,781.48

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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.