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Finding the Fourth Proportional to 1,643.97, 2,464.65 and 821.82

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Solution

The fourth proportional to 1,643.97, 2,464.65 and 821.82 is: 1,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.97 : 2,464.65 = 821.82 : x
  2. Step 2: Convert to fraction form
    1,643.97/2,464.65 = 821.82/x
  3. Step 3: Cross multiply
    1,643.97x = 2,464.65 × 821.82
  4. Step 4: Simplify right side
    1,643.97x = 2,025,498.66
  5. Step 5: Solve for x
    x = 2,025,498.66/1,643.97
  6. Step 6: Final answer
    x = 1,232.08

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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.