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Finding the Fourth Proportional to 1,993.52, 2,750.28 and 1,469.36

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Solution

The fourth proportional to 1,993.52, 2,750.28 and 1,469.36 is: 2,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.52 : 2,750.28 = 1,469.36 : x
  2. Step 2: Convert to fraction form
    1,993.52/2,750.28 = 1,469.36/x
  3. Step 3: Cross multiply
    1,993.52x = 2,750.28 × 1,469.36
  4. Step 4: Simplify right side
    1,993.52x = 4,041,151.42
  5. Step 5: Solve for x
    x = 4,041,151.42/1,993.52
  6. Step 6: Final answer
    x = 2,027.14

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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.