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Finding the Fourth Proportional to 1,643.01, 2,464.97 and 820.29

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Solution

The fourth proportional to 1,643.01, 2,464.97 and 820.29 is: 1,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.01 : 2,464.97 = 820.29 : x
  2. Step 2: Convert to fraction form
    1,643.01/2,464.97 = 820.29/x
  3. Step 3: Cross multiply
    1,643.01x = 2,464.97 × 820.29
  4. Step 4: Simplify right side
    1,643.01x = 2,021,986.14
  5. Step 5: Solve for x
    x = 2,021,986.14/1,643.01
  6. Step 6: Final answer
    x = 1,230.66

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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.