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Finding the Fourth Proportional to 2,908.22, 4,362.33 and 960.58

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Solution

The fourth proportional to 2,908.22, 4,362.33 and 960.58 is: 1,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.22 : 4,362.33 = 960.58 : x
  2. Step 2: Convert to fraction form
    2,908.22/4,362.33 = 960.58/x
  3. Step 3: Cross multiply
    2,908.22x = 4,362.33 × 960.58
  4. Step 4: Simplify right side
    2,908.22x = 4,190,345.14
  5. Step 5: Solve for x
    x = 4,190,345.14/2,908.22
  6. Step 6: Final answer
    x = 1,440.86

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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.