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Finding the Fourth Proportional to 1,962.32, 2,943.54 and 663.86

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Solution

The fourth proportional to 1,962.32, 2,943.54 and 663.86 is: 995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.32 : 2,943.54 = 663.86 : x
  2. Step 2: Convert to fraction form
    1,962.32/2,943.54 = 663.86/x
  3. Step 3: Cross multiply
    1,962.32x = 2,943.54 × 663.86
  4. Step 4: Simplify right side
    1,962.32x = 1,954,098.46
  5. Step 5: Solve for x
    x = 1,954,098.46/1,962.32
  6. Step 6: Final answer
    x = 995.81

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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.