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Finding the Fourth Proportional to 2,753.84, 3,799.21 and 1,574.27

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Solution

The fourth proportional to 2,753.84, 3,799.21 and 1,574.27 is: 2,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.84 : 3,799.21 = 1,574.27 : x
  2. Step 2: Convert to fraction form
    2,753.84/3,799.21 = 1,574.27/x
  3. Step 3: Cross multiply
    2,753.84x = 3,799.21 × 1,574.27
  4. Step 4: Simplify right side
    2,753.84x = 5,980,974.46
  5. Step 5: Solve for x
    x = 5,980,974.46/2,753.84
  6. Step 6: Final answer
    x = 2,171.87

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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.