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Finding the Fourth Proportional to 1,657, 2,286.57 and 993.73

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Solution

The fourth proportional to 1,657, 2,286.57 and 993.73 is: 1,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657 : 2,286.57 = 993.73 : x
  2. Step 2: Convert to fraction form
    1,657/2,286.57 = 993.73/x
  3. Step 3: Cross multiply
    1,657x = 2,286.57 × 993.73
  4. Step 4: Simplify right side
    1,657x = 2,272,233.21
  5. Step 5: Solve for x
    x = 2,272,233.21/1,657
  6. Step 6: Final answer
    x = 1,371.29

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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.