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Finding the Fourth Proportional to 1,883.05, 2,600.78 and 1,252.48

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Solution

The fourth proportional to 1,883.05, 2,600.78 and 1,252.48 is: 1,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.05 : 2,600.78 = 1,252.48 : x
  2. Step 2: Convert to fraction form
    1,883.05/2,600.78 = 1,252.48/x
  3. Step 3: Cross multiply
    1,883.05x = 2,600.78 × 1,252.48
  4. Step 4: Simplify right side
    1,883.05x = 3,257,424.93
  5. Step 5: Solve for x
    x = 3,257,424.93/1,883.05
  6. Step 6: Final answer
    x = 1,729.87

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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.