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Finding the Fourth Proportional to 2,634.12, 3,952.62 and 1,464.12

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Solution

The fourth proportional to 2,634.12, 3,952.62 and 1,464.12 is: 2,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.12 : 3,952.62 = 1,464.12 : x
  2. Step 2: Convert to fraction form
    2,634.12/3,952.62 = 1,464.12/x
  3. Step 3: Cross multiply
    2,634.12x = 3,952.62 × 1,464.12
  4. Step 4: Simplify right side
    2,634.12x = 5,787,109.99
  5. Step 5: Solve for x
    x = 5,787,109.99/2,634.12
  6. Step 6: Final answer
    x = 2,196.98

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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.