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Finding the Fourth Proportional to 2,945.34, 4,418.28 and 997.56

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Solution

The fourth proportional to 2,945.34, 4,418.28 and 997.56 is: 1,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.34 : 4,418.28 = 997.56 : x
  2. Step 2: Convert to fraction form
    2,945.34/4,418.28 = 997.56/x
  3. Step 3: Cross multiply
    2,945.34x = 4,418.28 × 997.56
  4. Step 4: Simplify right side
    2,945.34x = 4,407,499.40
  5. Step 5: Solve for x
    x = 4,407,499.40/2,945.34
  6. Step 6: Final answer
    x = 1,496.43

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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.