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Finding the Fourth Proportional to 2,422.44, 3,634.02 and 1,252.08

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Solution

The fourth proportional to 2,422.44, 3,634.02 and 1,252.08 is: 1,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.44 : 3,634.02 = 1,252.08 : x
  2. Step 2: Convert to fraction form
    2,422.44/3,634.02 = 1,252.08/x
  3. Step 3: Cross multiply
    2,422.44x = 3,634.02 × 1,252.08
  4. Step 4: Simplify right side
    2,422.44x = 4,550,083.76
  5. Step 5: Solve for x
    x = 4,550,083.76/2,422.44
  6. Step 6: Final answer
    x = 1,878.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.