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Finding the Fourth Proportional to 2,772.55, 4,164.90 and 2,046.79

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Solution

The fourth proportional to 2,772.55, 4,164.90 and 2,046.79 is: 3,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.55 : 4,164.90 = 2,046.79 : x
  2. Step 2: Convert to fraction form
    2,772.55/4,164.90 = 2,046.79/x
  3. Step 3: Cross multiply
    2,772.55x = 4,164.90 × 2,046.79
  4. Step 4: Simplify right side
    2,772.55x = 8,524,675.67
  5. Step 5: Solve for x
    x = 8,524,675.67/2,772.55
  6. Step 6: Final answer
    x = 3,074.67

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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.