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Finding the Fourth Proportional to 2,864.98, 3,950.40 and 2,422.18

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Solution

The fourth proportional to 2,864.98, 3,950.40 and 2,422.18 is: 3,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.98 : 3,950.40 = 2,422.18 : x
  2. Step 2: Convert to fraction form
    2,864.98/3,950.40 = 2,422.18/x
  3. Step 3: Cross multiply
    2,864.98x = 3,950.40 × 2,422.18
  4. Step 4: Simplify right side
    2,864.98x = 9,568,579.87
  5. Step 5: Solve for x
    x = 9,568,579.87/2,864.98
  6. Step 6: Final answer
    x = 3,339.84

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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.