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Finding the Fourth Proportional to 1,843.62, 2,765.76 and 610.80

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Solution

The fourth proportional to 1,843.62, 2,765.76 and 610.80 is: 916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.62 : 2,765.76 = 610.80 : x
  2. Step 2: Convert to fraction form
    1,843.62/2,765.76 = 610.80/x
  3. Step 3: Cross multiply
    1,843.62x = 2,765.76 × 610.80
  4. Step 4: Simplify right side
    1,843.62x = 1,689,326.21
  5. Step 5: Solve for x
    x = 1,689,326.21/1,843.62
  6. Step 6: Final answer
    x = 916.31

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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.