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Finding the Fourth Proportional to 1,226.46, 1,692.78 and 1,101.90

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Solution

The fourth proportional to 1,226.46, 1,692.78 and 1,101.90 is: 1,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.46 : 1,692.78 = 1,101.90 : x
  2. Step 2: Convert to fraction form
    1,226.46/1,692.78 = 1,101.90/x
  3. Step 3: Cross multiply
    1,226.46x = 1,692.78 × 1,101.90
  4. Step 4: Simplify right side
    1,226.46x = 1,865,274.28
  5. Step 5: Solve for x
    x = 1,865,274.28/1,226.46
  6. Step 6: Final answer
    x = 1,520.86

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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.