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Finding the Fourth Proportional to 2,066.00, 2,851.20 and 1,226.61

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Solution

The fourth proportional to 2,066.00, 2,851.20 and 1,226.61 is: 1,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.00 : 2,851.20 = 1,226.61 : x
  2. Step 2: Convert to fraction form
    2,066.00/2,851.20 = 1,226.61/x
  3. Step 3: Cross multiply
    2,066.00x = 2,851.20 × 1,226.61
  4. Step 4: Simplify right side
    2,066.00x = 3,497,310.43
  5. Step 5: Solve for x
    x = 3,497,310.43/2,066.00
  6. Step 6: Final answer
    x = 1,692.80

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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.