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Finding the Fourth Proportional to 2,093.46, 3,139.38 and 997.56

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Solution

The fourth proportional to 2,093.46, 3,139.38 and 997.56 is: 1,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.46 : 3,139.38 = 997.56 : x
  2. Step 2: Convert to fraction form
    2,093.46/3,139.38 = 997.56/x
  3. Step 3: Cross multiply
    2,093.46x = 3,139.38 × 997.56
  4. Step 4: Simplify right side
    2,093.46x = 3,131,719.91
  5. Step 5: Solve for x
    x = 3,131,719.91/2,093.46
  6. Step 6: Final answer
    x = 1,495.95

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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.