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Finding the Fourth Proportional to 2,121.36, 3,181.04 and 805.35

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Solution

The fourth proportional to 2,121.36, 3,181.04 and 805.35 is: 1,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.36 : 3,181.04 = 805.35 : x
  2. Step 2: Convert to fraction form
    2,121.36/3,181.04 = 805.35/x
  3. Step 3: Cross multiply
    2,121.36x = 3,181.04 × 805.35
  4. Step 4: Simplify right side
    2,121.36x = 2,561,850.56
  5. Step 5: Solve for x
    x = 2,561,850.56/2,121.36
  6. Step 6: Final answer
    x = 1,207.65

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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.