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Finding the Fourth Proportional to 2,024.64, 2,805.96 and 1,993.92

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Solution

The fourth proportional to 2,024.64, 2,805.96 and 1,993.92 is: 2,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.64 : 2,805.96 = 1,993.92 : x
  2. Step 2: Convert to fraction form
    2,024.64/2,805.96 = 1,993.92/x
  3. Step 3: Cross multiply
    2,024.64x = 2,805.96 × 1,993.92
  4. Step 4: Simplify right side
    2,024.64x = 5,594,859.76
  5. Step 5: Solve for x
    x = 5,594,859.76/2,024.64
  6. Step 6: Final answer
    x = 2,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.