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Finding the Fourth Proportional to 2,247.93, 3,370.34 and 997.85

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Solution

The fourth proportional to 2,247.93, 3,370.34 and 997.85 is: 1,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.93 : 3,370.34 = 997.85 : x
  2. Step 2: Convert to fraction form
    2,247.93/3,370.34 = 997.85/x
  3. Step 3: Cross multiply
    2,247.93x = 3,370.34 × 997.85
  4. Step 4: Simplify right side
    2,247.93x = 3,363,093.77
  5. Step 5: Solve for x
    x = 3,363,093.77/2,247.93
  6. Step 6: Final answer
    x = 1,496.08

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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.