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Finding the Fourth Proportional to 2,372.92, 3,559.39 and 985.39

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Solution

The fourth proportional to 2,372.92, 3,559.39 and 985.39 is: 1,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.92 : 3,559.39 = 985.39 : x
  2. Step 2: Convert to fraction form
    2,372.92/3,559.39 = 985.39/x
  3. Step 3: Cross multiply
    2,372.92x = 3,559.39 × 985.39
  4. Step 4: Simplify right side
    2,372.92x = 3,507,375.95
  5. Step 5: Solve for x
    x = 3,507,375.95/2,372.92
  6. Step 6: Final answer
    x = 1,478.09

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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.