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Finding the Fourth Proportional to 1,949.72, 2,921.84 and 1,462.22

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Solution

The fourth proportional to 1,949.72, 2,921.84 and 1,462.22 is: 2,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.72 : 2,921.84 = 1,462.22 : x
  2. Step 2: Convert to fraction form
    1,949.72/2,921.84 = 1,462.22/x
  3. Step 3: Cross multiply
    1,949.72x = 2,921.84 × 1,462.22
  4. Step 4: Simplify right side
    1,949.72x = 4,272,372.88
  5. Step 5: Solve for x
    x = 4,272,372.88/1,949.72
  6. Step 6: Final answer
    x = 2,191.28

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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.