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Finding the Fourth Proportional to 2,979.31, 4,469.31 and 899.44

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Solution

The fourth proportional to 2,979.31, 4,469.31 and 899.44 is: 1,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.31 : 4,469.31 = 899.44 : x
  2. Step 2: Convert to fraction form
    2,979.31/4,469.31 = 899.44/x
  3. Step 3: Cross multiply
    2,979.31x = 4,469.31 × 899.44
  4. Step 4: Simplify right side
    2,979.31x = 4,019,876.19
  5. Step 5: Solve for x
    x = 4,019,876.19/2,979.31
  6. Step 6: Final answer
    x = 1,349.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.