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Finding the Fourth Proportional to 2,422.44, 3,346.02 and 2,107.08

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Solution

The fourth proportional to 2,422.44, 3,346.02 and 2,107.08 is: 2,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.44 : 3,346.02 = 2,107.08 : x
  2. Step 2: Convert to fraction form
    2,422.44/3,346.02 = 2,107.08/x
  3. Step 3: Cross multiply
    2,422.44x = 3,346.02 × 2,107.08
  4. Step 4: Simplify right side
    2,422.44x = 7,050,331.82
  5. Step 5: Solve for x
    x = 7,050,331.82/2,422.44
  6. Step 6: Final answer
    x = 2,910.43

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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.