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Finding the Fourth Proportional to 2,574.62, 3,861.83 and 1,092.89

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Solution

The fourth proportional to 2,574.62, 3,861.83 and 1,092.89 is: 1,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.62 : 3,861.83 = 1,092.89 : x
  2. Step 2: Convert to fraction form
    2,574.62/3,861.83 = 1,092.89/x
  3. Step 3: Cross multiply
    2,574.62x = 3,861.83 × 1,092.89
  4. Step 4: Simplify right side
    2,574.62x = 4,220,555.39
  5. Step 5: Solve for x
    x = 4,220,555.39/2,574.62
  6. Step 6: Final answer
    x = 1,639.29

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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.