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Finding the Fourth Proportional to 2,574.06, 3,861.24 and 725.33

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Solution

The fourth proportional to 2,574.06, 3,861.24 and 725.33 is: 1,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.06 : 3,861.24 = 725.33 : x
  2. Step 2: Convert to fraction form
    2,574.06/3,861.24 = 725.33/x
  3. Step 3: Cross multiply
    2,574.06x = 3,861.24 × 725.33
  4. Step 4: Simplify right side
    2,574.06x = 2,800,685.58
  5. Step 5: Solve for x
    x = 2,800,685.58/2,574.06
  6. Step 6: Final answer
    x = 1,088.04

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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.