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Finding the Fourth Proportional to 2,273.57, 3,410.36 and 630.20

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Solution

The fourth proportional to 2,273.57, 3,410.36 and 630.20 is: 945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.57 : 3,410.36 = 630.20 : x
  2. Step 2: Convert to fraction form
    2,273.57/3,410.36 = 630.20/x
  3. Step 3: Cross multiply
    2,273.57x = 3,410.36 × 630.20
  4. Step 4: Simplify right side
    2,273.57x = 2,149,208.87
  5. Step 5: Solve for x
    x = 2,149,208.87/2,273.57
  6. Step 6: Final answer
    x = 945.30

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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.