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Finding the Fourth Proportional to 2,103.80, 2,789.03 and 2,103.80

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Solution

The fourth proportional to 2,103.80, 2,789.03 and 2,103.80 is: 2,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.80 : 2,789.03 = 2,103.80 : x
  2. Step 2: Convert to fraction form
    2,103.80/2,789.03 = 2,103.80/x
  3. Step 3: Cross multiply
    2,103.80x = 2,789.03 × 2,103.80
  4. Step 4: Simplify right side
    2,103.80x = 5,867,561.31
  5. Step 5: Solve for x
    x = 5,867,561.31/2,103.80
  6. Step 6: Final answer
    x = 2,789.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.