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Finding the Fourth Proportional to 2,574.05, 3,861.08 and 725.17

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Solution

The fourth proportional to 2,574.05, 3,861.08 and 725.17 is: 1,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.05 : 3,861.08 = 725.17 : x
  2. Step 2: Convert to fraction form
    2,574.05/3,861.08 = 725.17/x
  3. Step 3: Cross multiply
    2,574.05x = 3,861.08 × 725.17
  4. Step 4: Simplify right side
    2,574.05x = 2,799,926.11
  5. Step 5: Solve for x
    x = 2,799,926.11/2,574.05
  6. Step 6: Final answer
    x = 1,087.75

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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.