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Finding the Fourth Proportional to 2,754.40, 3,799.92 and 1,705.72

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Solution

The fourth proportional to 2,754.40, 3,799.92 and 1,705.72 is: 2,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.40 : 3,799.92 = 1,705.72 : x
  2. Step 2: Convert to fraction form
    2,754.40/3,799.92 = 1,705.72/x
  3. Step 3: Cross multiply
    2,754.40x = 3,799.92 × 1,705.72
  4. Step 4: Simplify right side
    2,754.40x = 6,481,599.54
  5. Step 5: Solve for x
    x = 6,481,599.54/2,754.40
  6. Step 6: Final answer
    x = 2,353.18

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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.