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Finding the Fourth Proportional to 2,707.29, 4,060.96 and 952.31

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Solution

The fourth proportional to 2,707.29, 4,060.96 and 952.31 is: 1,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.29 : 4,060.96 = 952.31 : x
  2. Step 2: Convert to fraction form
    2,707.29/4,060.96 = 952.31/x
  3. Step 3: Cross multiply
    2,707.29x = 4,060.96 × 952.31
  4. Step 4: Simplify right side
    2,707.29x = 3,867,287.47
  5. Step 5: Solve for x
    x = 3,867,287.47/2,707.29
  6. Step 6: Final answer
    x = 1,428.47

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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.