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Finding the Fourth Proportional to 2,773.77, 4,155.27 and 2,185.66

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Solution

The fourth proportional to 2,773.77, 4,155.27 and 2,185.66 is: 3,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.77 : 4,155.27 = 2,185.66 : x
  2. Step 2: Convert to fraction form
    2,773.77/4,155.27 = 2,185.66/x
  3. Step 3: Cross multiply
    2,773.77x = 4,155.27 × 2,185.66
  4. Step 4: Simplify right side
    2,773.77x = 9,082,007.43
  5. Step 5: Solve for x
    x = 9,082,007.43/2,773.77
  6. Step 6: Final answer
    x = 3,274.25

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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.