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Finding the Fourth Proportional to 3,331.79, 4,996.81 and 991.17

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Solution

The fourth proportional to 3,331.79, 4,996.81 and 991.17 is: 1,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.79 : 4,996.81 = 991.17 : x
  2. Step 2: Convert to fraction form
    3,331.79/4,996.81 = 991.17/x
  3. Step 3: Cross multiply
    3,331.79x = 4,996.81 × 991.17
  4. Step 4: Simplify right side
    3,331.79x = 4,952,665.66
  5. Step 5: Solve for x
    x = 4,952,665.66/3,331.79
  6. Step 6: Final answer
    x = 1,486.49

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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.