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Finding the Fourth Proportional to 1,593.76, 2,202.24 and 1,528.96

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Solution

The fourth proportional to 1,593.76, 2,202.24 and 1,528.96 is: 2,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.76 : 2,202.24 = 1,528.96 : x
  2. Step 2: Convert to fraction form
    1,593.76/2,202.24 = 1,528.96/x
  3. Step 3: Cross multiply
    1,593.76x = 2,202.24 × 1,528.96
  4. Step 4: Simplify right side
    1,593.76x = 3,367,136.87
  5. Step 5: Solve for x
    x = 3,367,136.87/1,593.76
  6. Step 6: Final answer
    x = 2,112.70

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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.