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Finding the Fourth Proportional to 2,754.24, 3,799.17 and 1,634.93

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Solution

The fourth proportional to 2,754.24, 3,799.17 and 1,634.93 is: 2,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.24 : 3,799.17 = 1,634.93 : x
  2. Step 2: Convert to fraction form
    2,754.24/3,799.17 = 1,634.93/x
  3. Step 3: Cross multiply
    2,754.24x = 3,799.17 × 1,634.93
  4. Step 4: Simplify right side
    2,754.24x = 6,211,393.63
  5. Step 5: Solve for x
    x = 6,211,393.63/2,754.24
  6. Step 6: Final answer
    x = 2,255.21

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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.