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Finding the Fourth Proportional to 1,593.20, 2,198.72 and 930.21

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Solution

The fourth proportional to 1,593.20, 2,198.72 and 930.21 is: 1,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.20 : 2,198.72 = 930.21 : x
  2. Step 2: Convert to fraction form
    1,593.20/2,198.72 = 930.21/x
  3. Step 3: Cross multiply
    1,593.20x = 2,198.72 × 930.21
  4. Step 4: Simplify right side
    1,593.20x = 2,045,273.66
  5. Step 5: Solve for x
    x = 2,045,273.66/1,593.20
  6. Step 6: Final answer
    x = 1,283.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.