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Finding the Fourth Proportional to 2,684.68, 4,027.16 and 737.03

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Solution

The fourth proportional to 2,684.68, 4,027.16 and 737.03 is: 1,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.68 : 4,027.16 = 737.03 : x
  2. Step 2: Convert to fraction form
    2,684.68/4,027.16 = 737.03/x
  3. Step 3: Cross multiply
    2,684.68x = 4,027.16 × 737.03
  4. Step 4: Simplify right side
    2,684.68x = 2,968,149.65
  5. Step 5: Solve for x
    x = 2,968,149.65/2,684.68
  6. Step 6: Final answer
    x = 1,105.59

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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.