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Finding the Fourth Proportional to 1,976.38, 2,962.19 and 725.97

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Solution

The fourth proportional to 1,976.38, 2,962.19 and 725.97 is: 1,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.38 : 2,962.19 = 725.97 : x
  2. Step 2: Convert to fraction form
    1,976.38/2,962.19 = 725.97/x
  3. Step 3: Cross multiply
    1,976.38x = 2,962.19 × 725.97
  4. Step 4: Simplify right side
    1,976.38x = 2,150,465.67
  5. Step 5: Solve for x
    x = 2,150,465.67/1,976.38
  6. Step 6: Final answer
    x = 1,088.08

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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.