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Finding the Fourth Proportional to 3,064.62, 4,218.80 and 2,768.96

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Solution

The fourth proportional to 3,064.62, 4,218.80 and 2,768.96 is: 3,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.62 : 4,218.80 = 2,768.96 : x
  2. Step 2: Convert to fraction form
    3,064.62/4,218.80 = 2,768.96/x
  3. Step 3: Cross multiply
    3,064.62x = 4,218.80 × 2,768.96
  4. Step 4: Simplify right side
    3,064.62x = 11,681,688.45
  5. Step 5: Solve for x
    x = 11,681,688.45/3,064.62
  6. Step 6: Final answer
    x = 3,811.79

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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.