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Finding the Fourth Proportional to 1,922.70, 2,863.77 and 1,913.79

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Solution

The fourth proportional to 1,922.70, 2,863.77 and 1,913.79 is: 2,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.70 : 2,863.77 = 1,913.79 : x
  2. Step 2: Convert to fraction form
    1,922.70/2,863.77 = 1,913.79/x
  3. Step 3: Cross multiply
    1,922.70x = 2,863.77 × 1,913.79
  4. Step 4: Simplify right side
    1,922.70x = 5,480,654.39
  5. Step 5: Solve for x
    x = 5,480,654.39/1,922.70
  6. Step 6: Final answer
    x = 2,850.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.