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Finding the Fourth Proportional to 3,287.74, 4,536.34 and 1,961.18

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Solution

The fourth proportional to 3,287.74, 4,536.34 and 1,961.18 is: 2,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.74 : 4,536.34 = 1,961.18 : x
  2. Step 2: Convert to fraction form
    3,287.74/4,536.34 = 1,961.18/x
  3. Step 3: Cross multiply
    3,287.74x = 4,536.34 × 1,961.18
  4. Step 4: Simplify right side
    3,287.74x = 8,896,579.28
  5. Step 5: Solve for x
    x = 8,896,579.28/3,287.74
  6. Step 6: Final answer
    x = 2,705.99

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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.