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Finding the Fourth Proportional to 2,774.03, 3,822.90 and 1,986.71

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Solution

The fourth proportional to 2,774.03, 3,822.90 and 1,986.71 is: 2,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.03 : 3,822.90 = 1,986.71 : x
  2. Step 2: Convert to fraction form
    2,774.03/3,822.90 = 1,986.71/x
  3. Step 3: Cross multiply
    2,774.03x = 3,822.90 × 1,986.71
  4. Step 4: Simplify right side
    2,774.03x = 7,594,993.66
  5. Step 5: Solve for x
    x = 7,594,993.66/2,774.03
  6. Step 6: Final answer
    x = 2,737.89

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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.