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Finding the Fourth Proportional to 2,958.96, 4,439.13 and 985.23

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Solution

The fourth proportional to 2,958.96, 4,439.13 and 985.23 is: 1,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.96 : 4,439.13 = 985.23 : x
  2. Step 2: Convert to fraction form
    2,958.96/4,439.13 = 985.23/x
  3. Step 3: Cross multiply
    2,958.96x = 4,439.13 × 985.23
  4. Step 4: Simplify right side
    2,958.96x = 4,373,564.05
  5. Step 5: Solve for x
    x = 4,373,564.05/2,958.96
  6. Step 6: Final answer
    x = 1,478.07

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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.