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Finding the Fourth Proportional to 3,120.70, 4,667.28 and 2,776.45

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Solution

The fourth proportional to 3,120.70, 4,667.28 and 2,776.45 is: 4,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.70 : 4,667.28 = 2,776.45 : x
  2. Step 2: Convert to fraction form
    3,120.70/4,667.28 = 2,776.45/x
  3. Step 3: Cross multiply
    3,120.70x = 4,667.28 × 2,776.45
  4. Step 4: Simplify right side
    3,120.70x = 12,958,469.56
  5. Step 5: Solve for x
    x = 12,958,469.56/3,120.70
  6. Step 6: Final answer
    x = 4,152.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.