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Finding the Fourth Proportional to 1,643.92, 2,464.10 and 820.56

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Solution

The fourth proportional to 1,643.92, 2,464.10 and 820.56 is: 1,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.92 : 2,464.10 = 820.56 : x
  2. Step 2: Convert to fraction form
    1,643.92/2,464.10 = 820.56/x
  3. Step 3: Cross multiply
    1,643.92x = 2,464.10 × 820.56
  4. Step 4: Simplify right side
    1,643.92x = 2,021,941.90
  5. Step 5: Solve for x
    x = 2,021,941.90/1,643.92
  6. Step 6: Final answer
    x = 1,229.95

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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.