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Finding the Fourth Proportional to 2,065.88, 2,850.66 and 1,226.60

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Solution

The fourth proportional to 2,065.88, 2,850.66 and 1,226.60 is: 1,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.88 : 2,850.66 = 1,226.60 : x
  2. Step 2: Convert to fraction form
    2,065.88/2,850.66 = 1,226.60/x
  3. Step 3: Cross multiply
    2,065.88x = 2,850.66 × 1,226.60
  4. Step 4: Simplify right side
    2,065.88x = 3,496,619.56
  5. Step 5: Solve for x
    x = 3,496,619.56/2,065.88
  6. Step 6: Final answer
    x = 1,692.56

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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.