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Finding the Fourth Proportional to 2,773.54, 3,822.19 and 1,986.22

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Solution

The fourth proportional to 2,773.54, 3,822.19 and 1,986.22 is: 2,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.54 : 3,822.19 = 1,986.22 : x
  2. Step 2: Convert to fraction form
    2,773.54/3,822.19 = 1,986.22/x
  3. Step 3: Cross multiply
    2,773.54x = 3,822.19 × 1,986.22
  4. Step 4: Simplify right side
    2,773.54x = 7,591,710.03
  5. Step 5: Solve for x
    x = 7,591,710.03/2,773.54
  6. Step 6: Final answer
    x = 2,737.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.