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Finding the Fourth Proportional to 2,685.02, 4,027.65 and 737.24

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Solution

The fourth proportional to 2,685.02, 4,027.65 and 737.24 is: 1,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.02 : 4,027.65 = 737.24 : x
  2. Step 2: Convert to fraction form
    2,685.02/4,027.65 = 737.24/x
  3. Step 3: Cross multiply
    2,685.02x = 4,027.65 × 737.24
  4. Step 4: Simplify right side
    2,685.02x = 2,969,344.69
  5. Step 5: Solve for x
    x = 2,969,344.69/2,685.02
  6. Step 6: Final answer
    x = 1,105.89

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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.