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Finding the Fourth Proportional to 2,771.55, 4,163.40 and 2,045.79

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Solution

The fourth proportional to 2,771.55, 4,163.40 and 2,045.79 is: 3,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.55 : 4,163.40 = 2,045.79 : x
  2. Step 2: Convert to fraction form
    2,771.55/4,163.40 = 2,045.79/x
  3. Step 3: Cross multiply
    2,771.55x = 4,163.40 × 2,045.79
  4. Step 4: Simplify right side
    2,771.55x = 8,517,442.09
  5. Step 5: Solve for x
    x = 8,517,442.09/2,771.55
  6. Step 6: Final answer
    x = 3,073.17

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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.