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Finding the Fourth Proportional to 2,464.64, 3,694.26 and 1,216.08

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Solution

The fourth proportional to 2,464.64, 3,694.26 and 1,216.08 is: 1,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.64 : 3,694.26 = 1,216.08 : x
  2. Step 2: Convert to fraction form
    2,464.64/3,694.26 = 1,216.08/x
  3. Step 3: Cross multiply
    2,464.64x = 3,694.26 × 1,216.08
  4. Step 4: Simplify right side
    2,464.64x = 4,492,515.70
  5. Step 5: Solve for x
    x = 4,492,515.70/2,464.64
  6. Step 6: Final answer
    x = 1,822.79

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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.