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Finding the Fourth Proportional to 2,362.38, 3,543.57 and 1,062.33

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Solution

The fourth proportional to 2,362.38, 3,543.57 and 1,062.33 is: 1,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.38 : 3,543.57 = 1,062.33 : x
  2. Step 2: Convert to fraction form
    2,362.38/3,543.57 = 1,062.33/x
  3. Step 3: Cross multiply
    2,362.38x = 3,543.57 × 1,062.33
  4. Step 4: Simplify right side
    2,362.38x = 3,764,440.72
  5. Step 5: Solve for x
    x = 3,764,440.72/2,362.38
  6. Step 6: Final answer
    x = 1,593.50

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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.