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Finding the Fourth Proportional to 3,293.30, 4,934.28 and 1,976.24

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Solution

The fourth proportional to 3,293.30, 4,934.28 and 1,976.24 is: 2,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.30 : 4,934.28 = 1,976.24 : x
  2. Step 2: Convert to fraction form
    3,293.30/4,934.28 = 1,976.24/x
  3. Step 3: Cross multiply
    3,293.30x = 4,934.28 × 1,976.24
  4. Step 4: Simplify right side
    3,293.30x = 9,751,321.51
  5. Step 5: Solve for x
    x = 9,751,321.51/3,293.30
  6. Step 6: Final answer
    x = 2,960.96

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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.