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Finding the Fourth Proportional to 2,125.20, 3,187.80 and 565.20

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Solution

The fourth proportional to 2,125.20, 3,187.80 and 565.20 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.20 : 3,187.80 = 565.20 : x
  2. Step 2: Convert to fraction form
    2,125.20/3,187.80 = 565.20/x
  3. Step 3: Cross multiply
    2,125.20x = 3,187.80 × 565.20
  4. Step 4: Simplify right side
    2,125.20x = 1,801,744.56
  5. Step 5: Solve for x
    x = 1,801,744.56/2,125.20
  6. Step 6: Final answer
    x = 847.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.