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Finding the Fourth Proportional to 2,222.40, 3,066.84 and 1,227.64

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Solution

The fourth proportional to 2,222.40, 3,066.84 and 1,227.64 is: 1,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.40 : 3,066.84 = 1,227.64 : x
  2. Step 2: Convert to fraction form
    2,222.40/3,066.84 = 1,227.64/x
  3. Step 3: Cross multiply
    2,222.40x = 3,066.84 × 1,227.64
  4. Step 4: Simplify right side
    2,222.40x = 3,764,975.46
  5. Step 5: Solve for x
    x = 3,764,975.46/2,222.40
  6. Step 6: Final answer
    x = 1,694.10

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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.