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Finding the Fourth Proportional to 2,842.22, 3,923.33 and 2,102.14

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Solution

The fourth proportional to 2,842.22, 3,923.33 and 2,102.14 is: 2,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.22 : 3,923.33 = 2,102.14 : x
  2. Step 2: Convert to fraction form
    2,842.22/3,923.33 = 2,102.14/x
  3. Step 3: Cross multiply
    2,842.22x = 3,923.33 × 2,102.14
  4. Step 4: Simplify right side
    2,842.22x = 8,247,369.31
  5. Step 5: Solve for x
    x = 8,247,369.31/2,842.22
  6. Step 6: Final answer
    x = 2,901.74

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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.