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Finding the Fourth Proportional to 1,844.98, 2,766.44 and 611.71

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Solution

The fourth proportional to 1,844.98, 2,766.44 and 611.71 is: 917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.98 : 2,766.44 = 611.71 : x
  2. Step 2: Convert to fraction form
    1,844.98/2,766.44 = 611.71/x
  3. Step 3: Cross multiply
    1,844.98x = 2,766.44 × 611.71
  4. Step 4: Simplify right side
    1,844.98x = 1,692,272.22
  5. Step 5: Solve for x
    x = 1,692,272.22/1,844.98
  6. Step 6: Final answer
    x = 917.23

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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.