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Finding the Fourth Proportional to 2,906.57, 4,359.24 and 958.31

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Solution

The fourth proportional to 2,906.57, 4,359.24 and 958.31 is: 1,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.57 : 4,359.24 = 958.31 : x
  2. Step 2: Convert to fraction form
    2,906.57/4,359.24 = 958.31/x
  3. Step 3: Cross multiply
    2,906.57x = 4,359.24 × 958.31
  4. Step 4: Simplify right side
    2,906.57x = 4,177,503.28
  5. Step 5: Solve for x
    x = 4,177,503.28/2,906.57
  6. Step 6: Final answer
    x = 1,437.26

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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.