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Finding the Fourth Proportional to 3,451.92, 4,763.84 and 2,036.43

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Solution

The fourth proportional to 3,451.92, 4,763.84 and 2,036.43 is: 2,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.92 : 4,763.84 = 2,036.43 : x
  2. Step 2: Convert to fraction form
    3,451.92/4,763.84 = 2,036.43/x
  3. Step 3: Cross multiply
    3,451.92x = 4,763.84 × 2,036.43
  4. Step 4: Simplify right side
    3,451.92x = 9,701,226.69
  5. Step 5: Solve for x
    x = 9,701,226.69/3,451.92
  6. Step 6: Final answer
    x = 2,810.39

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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.