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Finding the Fourth Proportional to 1,962.41, 2,943.77 and 792.27

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Solution

The fourth proportional to 1,962.41, 2,943.77 and 792.27 is: 1,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.41 : 2,943.77 = 792.27 : x
  2. Step 2: Convert to fraction form
    1,962.41/2,943.77 = 792.27/x
  3. Step 3: Cross multiply
    1,962.41x = 2,943.77 × 792.27
  4. Step 4: Simplify right side
    1,962.41x = 2,332,256.70
  5. Step 5: Solve for x
    x = 2,332,256.70/1,962.41
  6. Step 6: Final answer
    x = 1,188.47

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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.