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Finding the Fourth Proportional to 2,820.22, 3,888.17 and 2,314.22

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Solution

The fourth proportional to 2,820.22, 3,888.17 and 2,314.22 is: 3,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.22 : 3,888.17 = 2,314.22 : x
  2. Step 2: Convert to fraction form
    2,820.22/3,888.17 = 2,314.22/x
  3. Step 3: Cross multiply
    2,820.22x = 3,888.17 × 2,314.22
  4. Step 4: Simplify right side
    2,820.22x = 8,998,080.78
  5. Step 5: Solve for x
    x = 8,998,080.78/2,820.22
  6. Step 6: Final answer
    x = 3,190.56

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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.