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Finding the Fourth Proportional to 2,574.65, 3,861.72 and 725.73

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Solution

The fourth proportional to 2,574.65, 3,861.72 and 725.73 is: 1,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.65 : 3,861.72 = 725.73 : x
  2. Step 2: Convert to fraction form
    2,574.65/3,861.72 = 725.73/x
  3. Step 3: Cross multiply
    2,574.65x = 3,861.72 × 725.73
  4. Step 4: Simplify right side
    2,574.65x = 2,802,566.06
  5. Step 5: Solve for x
    x = 2,802,566.06/2,574.65
  6. Step 6: Final answer
    x = 1,088.53

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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.