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Finding the Fourth Proportional to 2,782.02, 3,843.19 and 2,221.76

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Solution

The fourth proportional to 2,782.02, 3,843.19 and 2,221.76 is: 3,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.02 : 3,843.19 = 2,221.76 : x
  2. Step 2: Convert to fraction form
    2,782.02/3,843.19 = 2,221.76/x
  3. Step 3: Cross multiply
    2,782.02x = 3,843.19 × 2,221.76
  4. Step 4: Simplify right side
    2,782.02x = 8,538,626.60
  5. Step 5: Solve for x
    x = 8,538,626.60/2,782.02
  6. Step 6: Final answer
    x = 3,069.22

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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.