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Finding the Fourth Proportional to 1,844.23, 2,766.35 and 611.32

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Solution

The fourth proportional to 1,844.23, 2,766.35 and 611.32 is: 916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.23 : 2,766.35 = 611.32 : x
  2. Step 2: Convert to fraction form
    1,844.23/2,766.35 = 611.32/x
  3. Step 3: Cross multiply
    1,844.23x = 2,766.35 × 611.32
  4. Step 4: Simplify right side
    1,844.23x = 1,691,109.72
  5. Step 5: Solve for x
    x = 1,691,109.72/1,844.23
  6. Step 6: Final answer
    x = 916.97

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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.