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Finding the Fourth Proportional to 1,908.64, 2,847.78 and 1,674.90

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Solution

The fourth proportional to 1,908.64, 2,847.78 and 1,674.90 is: 2,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.64 : 2,847.78 = 1,674.90 : x
  2. Step 2: Convert to fraction form
    1,908.64/2,847.78 = 1,674.90/x
  3. Step 3: Cross multiply
    1,908.64x = 2,847.78 × 1,674.90
  4. Step 4: Simplify right side
    1,908.64x = 4,769,759.44
  5. Step 5: Solve for x
    x = 4,769,759.44/1,908.64
  6. Step 6: Final answer
    x = 2,499.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.