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Finding the Fourth Proportional to 2,999.50, 4,138.08 and 1,991.68

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Solution

The fourth proportional to 2,999.50, 4,138.08 and 1,991.68 is: 2,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.50 : 4,138.08 = 1,991.68 : x
  2. Step 2: Convert to fraction form
    2,999.50/4,138.08 = 1,991.68/x
  3. Step 3: Cross multiply
    2,999.50x = 4,138.08 × 1,991.68
  4. Step 4: Simplify right side
    2,999.50x = 8,241,731.17
  5. Step 5: Solve for x
    x = 8,241,731.17/2,999.50
  6. Step 6: Final answer
    x = 2,747.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.