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Finding the Fourth Proportional to 2,011.77, 2,776.73 and 1,226.30

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Solution

The fourth proportional to 2,011.77, 2,776.73 and 1,226.30 is: 1,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.77 : 2,776.73 = 1,226.30 : x
  2. Step 2: Convert to fraction form
    2,011.77/2,776.73 = 1,226.30/x
  3. Step 3: Cross multiply
    2,011.77x = 2,776.73 × 1,226.30
  4. Step 4: Simplify right side
    2,011.77x = 3,405,083.98
  5. Step 5: Solve for x
    x = 3,405,083.98/2,011.77
  6. Step 6: Final answer
    x = 1,692.58

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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.