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Finding the Fourth Proportional to 2,066.77, 2,851.90 and 1,227.75

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Solution

The fourth proportional to 2,066.77, 2,851.90 and 1,227.75 is: 1,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.77 : 2,851.90 = 1,227.75 : x
  2. Step 2: Convert to fraction form
    2,066.77/2,851.90 = 1,227.75/x
  3. Step 3: Cross multiply
    2,066.77x = 2,851.90 × 1,227.75
  4. Step 4: Simplify right side
    2,066.77x = 3,501,420.23
  5. Step 5: Solve for x
    x = 3,501,420.23/2,066.77
  6. Step 6: Final answer
    x = 1,694.15

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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.