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Finding the Fourth Proportional to 2,574.33, 3,861.57 and 1,014.27

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Solution

The fourth proportional to 2,574.33, 3,861.57 and 1,014.27 is: 1,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.33 : 3,861.57 = 1,014.27 : x
  2. Step 2: Convert to fraction form
    2,574.33/3,861.57 = 1,014.27/x
  3. Step 3: Cross multiply
    2,574.33x = 3,861.57 × 1,014.27
  4. Step 4: Simplify right side
    2,574.33x = 3,916,685.65
  5. Step 5: Solve for x
    x = 3,916,685.65/2,574.33
  6. Step 6: Final answer
    x = 1,521.44

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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.