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Finding the Fourth Proportional to 2,193.84, 3,286.41 and 1,152.27

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Solution

The fourth proportional to 2,193.84, 3,286.41 and 1,152.27 is: 1,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.84 : 3,286.41 = 1,152.27 : x
  2. Step 2: Convert to fraction form
    2,193.84/3,286.41 = 1,152.27/x
  3. Step 3: Cross multiply
    2,193.84x = 3,286.41 × 1,152.27
  4. Step 4: Simplify right side
    2,193.84x = 3,786,831.65
  5. Step 5: Solve for x
    x = 3,786,831.65/2,193.84
  6. Step 6: Final answer
    x = 1,726.12

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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.