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Finding the Fourth Proportional to 2,963.80, 4,441.38 and 1,665.64

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Solution

The fourth proportional to 2,963.80, 4,441.38 and 1,665.64 is: 2,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.80 : 4,441.38 = 1,665.64 : x
  2. Step 2: Convert to fraction form
    2,963.80/4,441.38 = 1,665.64/x
  3. Step 3: Cross multiply
    2,963.80x = 4,441.38 × 1,665.64
  4. Step 4: Simplify right side
    2,963.80x = 7,397,740.18
  5. Step 5: Solve for x
    x = 7,397,740.18/2,963.80
  6. Step 6: Final answer
    x = 2,496.03

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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.