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Finding the Fourth Proportional to 2,093.02, 3,138.38 and 997.62

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Solution

The fourth proportional to 2,093.02, 3,138.38 and 997.62 is: 1,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.02 : 3,138.38 = 997.62 : x
  2. Step 2: Convert to fraction form
    2,093.02/3,138.38 = 997.62/x
  3. Step 3: Cross multiply
    2,093.02x = 3,138.38 × 997.62
  4. Step 4: Simplify right side
    2,093.02x = 3,130,910.66
  5. Step 5: Solve for x
    x = 3,130,910.66/2,093.02
  6. Step 6: Final answer
    x = 1,495.88

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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.