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Finding the Fourth Proportional to 2,093.08, 3,139.65 and 997.56

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Solution

The fourth proportional to 2,093.08, 3,139.65 and 997.56 is: 1,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.08 : 3,139.65 = 997.56 : x
  2. Step 2: Convert to fraction form
    2,093.08/3,139.65 = 997.56/x
  3. Step 3: Cross multiply
    2,093.08x = 3,139.65 × 997.56
  4. Step 4: Simplify right side
    2,093.08x = 3,131,989.25
  5. Step 5: Solve for x
    x = 3,131,989.25/2,093.08
  6. Step 6: Final answer
    x = 1,496.35

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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.