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Finding the Fourth Proportional to 2,782.22, 3,839.40 and 1,523.21

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Solution

The fourth proportional to 2,782.22, 3,839.40 and 1,523.21 is: 2,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.22 : 3,839.40 = 1,523.21 : x
  2. Step 2: Convert to fraction form
    2,782.22/3,839.40 = 1,523.21/x
  3. Step 3: Cross multiply
    2,782.22x = 3,839.40 × 1,523.21
  4. Step 4: Simplify right side
    2,782.22x = 5,848,193.28
  5. Step 5: Solve for x
    x = 5,848,193.28/2,782.22
  6. Step 6: Final answer
    x = 2,101.99

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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.