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Finding the Fourth Proportional to 1,863.50, 2,571.57 and 1,012.73

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Solution

The fourth proportional to 1,863.50, 2,571.57 and 1,012.73 is: 1,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.50 : 2,571.57 = 1,012.73 : x
  2. Step 2: Convert to fraction form
    1,863.50/2,571.57 = 1,012.73/x
  3. Step 3: Cross multiply
    1,863.50x = 2,571.57 × 1,012.73
  4. Step 4: Simplify right side
    1,863.50x = 2,604,293.23
  5. Step 5: Solve for x
    x = 2,604,293.23/1,863.50
  6. Step 6: Final answer
    x = 1,397.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.