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Finding the Fourth Proportional to 2,659.73, 3,989.42 and 993.53

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Solution

The fourth proportional to 2,659.73, 3,989.42 and 993.53 is: 1,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.73 : 3,989.42 = 993.53 : x
  2. Step 2: Convert to fraction form
    2,659.73/3,989.42 = 993.53/x
  3. Step 3: Cross multiply
    2,659.73x = 3,989.42 × 993.53
  4. Step 4: Simplify right side
    2,659.73x = 3,963,608.45
  5. Step 5: Solve for x
    x = 3,963,608.45/2,659.73
  6. Step 6: Final answer
    x = 1,490.23

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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.