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Finding the Fourth Proportional to 2,773.91, 3,822.73 and 1,986.59

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Solution

The fourth proportional to 2,773.91, 3,822.73 and 1,986.59 is: 2,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.91 : 3,822.73 = 1,986.59 : x
  2. Step 2: Convert to fraction form
    2,773.91/3,822.73 = 1,986.59/x
  3. Step 3: Cross multiply
    2,773.91x = 3,822.73 × 1,986.59
  4. Step 4: Simplify right side
    2,773.91x = 7,594,173.11
  5. Step 5: Solve for x
    x = 7,594,173.11/2,773.91
  6. Step 6: Final answer
    x = 2,737.72

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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.