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Finding the Fourth Proportional to 3,270.54, 4,904.46 and 1,322.22

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Solution

The fourth proportional to 3,270.54, 4,904.46 and 1,322.22 is: 1,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.54 : 4,904.46 = 1,322.22 : x
  2. Step 2: Convert to fraction form
    3,270.54/4,904.46 = 1,322.22/x
  3. Step 3: Cross multiply
    3,270.54x = 4,904.46 × 1,322.22
  4. Step 4: Simplify right side
    3,270.54x = 6,484,775.10
  5. Step 5: Solve for x
    x = 6,484,775.10/3,270.54
  6. Step 6: Final answer
    x = 1,982.78

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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.