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Finding the Fourth Proportional to 2,422.86, 3,634.97 and 1,036.28

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Solution

The fourth proportional to 2,422.86, 3,634.97 and 1,036.28 is: 1,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.86 : 3,634.97 = 1,036.28 : x
  2. Step 2: Convert to fraction form
    2,422.86/3,634.97 = 1,036.28/x
  3. Step 3: Cross multiply
    2,422.86x = 3,634.97 × 1,036.28
  4. Step 4: Simplify right side
    2,422.86x = 3,766,846.71
  5. Step 5: Solve for x
    x = 3,766,846.71/2,422.86
  6. Step 6: Final answer
    x = 1,554.71

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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.