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Finding the Fourth Proportional to 1,226.18, 1,692.33 and 895.70

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Solution

The fourth proportional to 1,226.18, 1,692.33 and 895.70 is: 1,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.18 : 1,692.33 = 895.70 : x
  2. Step 2: Convert to fraction form
    1,226.18/1,692.33 = 895.70/x
  3. Step 3: Cross multiply
    1,226.18x = 1,692.33 × 895.70
  4. Step 4: Simplify right side
    1,226.18x = 1,515,819.98
  5. Step 5: Solve for x
    x = 1,515,819.98/1,226.18
  6. Step 6: Final answer
    x = 1,236.21

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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.