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Finding the Fourth Proportional to 1,844.83, 2,546.16 and 1,181.65

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Solution

The fourth proportional to 1,844.83, 2,546.16 and 1,181.65 is: 1,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.83 : 2,546.16 = 1,181.65 : x
  2. Step 2: Convert to fraction form
    1,844.83/2,546.16 = 1,181.65/x
  3. Step 3: Cross multiply
    1,844.83x = 2,546.16 × 1,181.65
  4. Step 4: Simplify right side
    1,844.83x = 3,008,669.96
  5. Step 5: Solve for x
    x = 3,008,669.96/1,844.83
  6. Step 6: Final answer
    x = 1,630.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.