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Finding the Fourth Proportional to 2,012.56, 2,778.16 and 1,226.88

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Solution

The fourth proportional to 2,012.56, 2,778.16 and 1,226.88 is: 1,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.56 : 2,778.16 = 1,226.88 : x
  2. Step 2: Convert to fraction form
    2,012.56/2,778.16 = 1,226.88/x
  3. Step 3: Cross multiply
    2,012.56x = 2,778.16 × 1,226.88
  4. Step 4: Simplify right side
    2,012.56x = 3,408,468.94
  5. Step 5: Solve for x
    x = 3,408,468.94/2,012.56
  6. Step 6: Final answer
    x = 1,693.60

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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.