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Finding the Fourth Proportional to 3,264.23, 4,896.20 and 798.92

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Solution

The fourth proportional to 3,264.23, 4,896.20 and 798.92 is: 1,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.23 : 4,896.20 = 798.92 : x
  2. Step 2: Convert to fraction form
    3,264.23/4,896.20 = 798.92/x
  3. Step 3: Cross multiply
    3,264.23x = 4,896.20 × 798.92
  4. Step 4: Simplify right side
    3,264.23x = 3,911,643.63
  5. Step 5: Solve for x
    x = 3,911,643.63/3,264.23
  6. Step 6: Final answer
    x = 1,198.34

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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.