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Finding the Fourth Proportional to 2,729.18, 4,093.95 and 997.34

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Solution

The fourth proportional to 2,729.18, 4,093.95 and 997.34 is: 1,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.18 : 4,093.95 = 997.34 : x
  2. Step 2: Convert to fraction form
    2,729.18/4,093.95 = 997.34/x
  3. Step 3: Cross multiply
    2,729.18x = 4,093.95 × 997.34
  4. Step 4: Simplify right side
    2,729.18x = 4,083,060.09
  5. Step 5: Solve for x
    x = 4,083,060.09/2,729.18
  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.