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Finding the Fourth Proportional to 2,107.20, 2,888.16 and 2,092.80

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Solution

The fourth proportional to 2,107.20, 2,888.16 and 2,092.80 is: 2,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.20 : 2,888.16 = 2,092.80 : x
  2. Step 2: Convert to fraction form
    2,107.20/2,888.16 = 2,092.80/x
  3. Step 3: Cross multiply
    2,107.20x = 2,888.16 × 2,092.80
  4. Step 4: Simplify right side
    2,107.20x = 6,044,341.25
  5. Step 5: Solve for x
    x = 6,044,341.25/2,107.20
  6. Step 6: Final answer
    x = 2,868.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.