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Finding the Fourth Proportional to 2,464.49, 3,692.72 and 1,643.09

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Solution

The fourth proportional to 2,464.49, 3,692.72 and 1,643.09 is: 2,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.49 : 3,692.72 = 1,643.09 : x
  2. Step 2: Convert to fraction form
    2,464.49/3,692.72 = 1,643.09/x
  3. Step 3: Cross multiply
    2,464.49x = 3,692.72 × 1,643.09
  4. Step 4: Simplify right side
    2,464.49x = 6,067,463.09
  5. Step 5: Solve for x
    x = 6,067,463.09/2,464.49
  6. Step 6: Final answer
    x = 2,461.95

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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.