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Finding the Fourth Proportional to 1,844.57, 2,765.90 and 611.54

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Solution

The fourth proportional to 1,844.57, 2,765.90 and 611.54 is: 916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.57 : 2,765.90 = 611.54 : x
  2. Step 2: Convert to fraction form
    1,844.57/2,765.90 = 611.54/x
  3. Step 3: Cross multiply
    1,844.57x = 2,765.90 × 611.54
  4. Step 4: Simplify right side
    1,844.57x = 1,691,444.66
  5. Step 5: Solve for x
    x = 1,691,444.66/1,844.57
  6. Step 6: Final answer
    x = 916.99

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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.