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Finding the Fourth Proportional to 2,221.78, 3,066.02 and 1,227.03

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Solution

The fourth proportional to 2,221.78, 3,066.02 and 1,227.03 is: 1,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.78 : 3,066.02 = 1,227.03 : x
  2. Step 2: Convert to fraction form
    2,221.78/3,066.02 = 1,227.03/x
  3. Step 3: Cross multiply
    2,221.78x = 3,066.02 × 1,227.03
  4. Step 4: Simplify right side
    2,221.78x = 3,762,102.74
  5. Step 5: Solve for x
    x = 3,762,102.74/2,221.78
  6. Step 6: Final answer
    x = 1,693.28

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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.