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Finding the Fourth Proportional to 2,334.49, 3,500.82 and 872.84

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Solution

The fourth proportional to 2,334.49, 3,500.82 and 872.84 is: 1,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.49 : 3,500.82 = 872.84 : x
  2. Step 2: Convert to fraction form
    2,334.49/3,500.82 = 872.84/x
  3. Step 3: Cross multiply
    2,334.49x = 3,500.82 × 872.84
  4. Step 4: Simplify right side
    2,334.49x = 3,055,664.48
  5. Step 5: Solve for x
    x = 3,055,664.48/2,334.49
  6. Step 6: Final answer
    x = 1,308.92

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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.