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Finding the Fourth Proportional to 1,861.74, 2,796.30 and 1,169.64

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Solution

The fourth proportional to 1,861.74, 2,796.30 and 1,169.64 is: 1,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.74 : 2,796.30 = 1,169.64 : x
  2. Step 2: Convert to fraction form
    1,861.74/2,796.30 = 1,169.64/x
  3. Step 3: Cross multiply
    1,861.74x = 2,796.30 × 1,169.64
  4. Step 4: Simplify right side
    1,861.74x = 3,270,664.33
  5. Step 5: Solve for x
    x = 3,270,664.33/1,861.74
  6. Step 6: Final answer
    x = 1,756.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.