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Finding the Fourth Proportional to 2,396.43, 3,305.76 and 1,650.75

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Solution

The fourth proportional to 2,396.43, 3,305.76 and 1,650.75 is: 2,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.43 : 3,305.76 = 1,650.75 : x
  2. Step 2: Convert to fraction form
    2,396.43/3,305.76 = 1,650.75/x
  3. Step 3: Cross multiply
    2,396.43x = 3,305.76 × 1,650.75
  4. Step 4: Simplify right side
    2,396.43x = 5,456,983.32
  5. Step 5: Solve for x
    x = 5,456,983.32/2,396.43
  6. Step 6: Final answer
    x = 2,277.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.