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Finding the Fourth Proportional to 1,292.46, 1,783.99 and 1,226.33

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Solution

The fourth proportional to 1,292.46, 1,783.99 and 1,226.33 is: 1,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.46 : 1,783.99 = 1,226.33 : x
  2. Step 2: Convert to fraction form
    1,292.46/1,783.99 = 1,226.33/x
  3. Step 3: Cross multiply
    1,292.46x = 1,783.99 × 1,226.33
  4. Step 4: Simplify right side
    1,292.46x = 2,187,752.08
  5. Step 5: Solve for x
    x = 2,187,752.08/1,292.46
  6. Step 6: Final answer
    x = 1,692.71

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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.