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Finding the Fourth Proportional to 2,221.73, 3,066.22 and 1,277.56

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Solution

The fourth proportional to 2,221.73, 3,066.22 and 1,277.56 is: 1,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.73 : 3,066.22 = 1,277.56 : x
  2. Step 2: Convert to fraction form
    2,221.73/3,066.22 = 1,277.56/x
  3. Step 3: Cross multiply
    2,221.73x = 3,066.22 × 1,277.56
  4. Step 4: Simplify right side
    2,221.73x = 3,917,280.02
  5. Step 5: Solve for x
    x = 3,917,280.02/2,221.73
  6. Step 6: Final answer
    x = 1,763.17

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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.