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Finding the Fourth Proportional to 2,694.33, 4,039.20 and 1,524.15

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Solution

The fourth proportional to 2,694.33, 4,039.20 and 1,524.15 is: 2,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.33 : 4,039.20 = 1,524.15 : x
  2. Step 2: Convert to fraction form
    2,694.33/4,039.20 = 1,524.15/x
  3. Step 3: Cross multiply
    2,694.33x = 4,039.20 × 1,524.15
  4. Step 4: Simplify right side
    2,694.33x = 6,156,346.68
  5. Step 5: Solve for x
    x = 6,156,346.68/2,694.33
  6. Step 6: Final answer
    x = 2,284.93

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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.