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Finding the Fourth Proportional to 2,481.02, 3,720.99 and 749.24

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Solution

The fourth proportional to 2,481.02, 3,720.99 and 749.24 is: 1,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.02 : 3,720.99 = 749.24 : x
  2. Step 2: Convert to fraction form
    2,481.02/3,720.99 = 749.24/x
  3. Step 3: Cross multiply
    2,481.02x = 3,720.99 × 749.24
  4. Step 4: Simplify right side
    2,481.02x = 2,787,914.55
  5. Step 5: Solve for x
    x = 2,787,914.55/2,481.02
  6. Step 6: Final answer
    x = 1,123.70

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1.5x scale

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.