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Finding the Fourth Proportional to 1,840.38, 2,758.80 and 1,180.41

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Solution

The fourth proportional to 1,840.38, 2,758.80 and 1,180.41 is: 1,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.38 : 2,758.80 = 1,180.41 : x
  2. Step 2: Convert to fraction form
    1,840.38/2,758.80 = 1,180.41/x
  3. Step 3: Cross multiply
    1,840.38x = 2,758.80 × 1,180.41
  4. Step 4: Simplify right side
    1,840.38x = 3,256,502.55
  5. Step 5: Solve for x
    x = 3,256,502.55/1,840.38
  6. Step 6: Final answer
    x = 1,769.48

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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.