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Finding the Fourth Proportional to 3,366.78, 5,052.33 and 1,634.46

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Solution

The fourth proportional to 3,366.78, 5,052.33 and 1,634.46 is: 2,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.78 : 5,052.33 = 1,634.46 : x
  2. Step 2: Convert to fraction form
    3,366.78/5,052.33 = 1,634.46/x
  3. Step 3: Cross multiply
    3,366.78x = 5,052.33 × 1,634.46
  4. Step 4: Simplify right side
    3,366.78x = 8,257,831.29
  5. Step 5: Solve for x
    x = 8,257,831.29/3,366.78
  6. Step 6: Final answer
    x = 2,452.74

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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.