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Finding the Fourth Proportional to 1,844.41, 2,767.09 and 611.83

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Solution

The fourth proportional to 1,844.41, 2,767.09 and 611.83 is: 917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.41 : 2,767.09 = 611.83 : x
  2. Step 2: Convert to fraction form
    1,844.41/2,767.09 = 611.83/x
  3. Step 3: Cross multiply
    1,844.41x = 2,767.09 × 611.83
  4. Step 4: Simplify right side
    1,844.41x = 1,692,982.25
  5. Step 5: Solve for x
    x = 1,692,982.25/1,844.41
  6. Step 6: Final answer
    x = 917.90

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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.