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Finding the Fourth Proportional to 3,242.22, 4,863.39 and 933.78

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Solution

The fourth proportional to 3,242.22, 4,863.39 and 933.78 is: 1,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.22 : 4,863.39 = 933.78 : x
  2. Step 2: Convert to fraction form
    3,242.22/4,863.39 = 933.78/x
  3. Step 3: Cross multiply
    3,242.22x = 4,863.39 × 933.78
  4. Step 4: Simplify right side
    3,242.22x = 4,541,336.31
  5. Step 5: Solve for x
    x = 4,541,336.31/3,242.22
  6. Step 6: Final answer
    x = 1,400.69

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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.