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Finding the Fourth Proportional to 2,991.71, 4,487.74 and 911.86

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Solution

The fourth proportional to 2,991.71, 4,487.74 and 911.86 is: 1,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.71 : 4,487.74 = 911.86 : x
  2. Step 2: Convert to fraction form
    2,991.71/4,487.74 = 911.86/x
  3. Step 3: Cross multiply
    2,991.71x = 4,487.74 × 911.86
  4. Step 4: Simplify right side
    2,991.71x = 4,092,177.10
  5. Step 5: Solve for x
    x = 4,092,177.10/2,991.71
  6. Step 6: Final answer
    x = 1,367.84

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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.