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Finding the Fourth Proportional to 3,310.02, 4,565.42 and 1,983.24

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Solution

The fourth proportional to 3,310.02, 4,565.42 and 1,983.24 is: 2,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.02 : 4,565.42 = 1,983.24 : x
  2. Step 2: Convert to fraction form
    3,310.02/4,565.42 = 1,983.24/x
  3. Step 3: Cross multiply
    3,310.02x = 4,565.42 × 1,983.24
  4. Step 4: Simplify right side
    3,310.02x = 9,054,323.56
  5. Step 5: Solve for x
    x = 9,054,323.56/3,310.02
  6. Step 6: Final answer
    x = 2,735.43

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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.