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Finding the Fourth Proportional to 2,209.08, 3,313.56 and 565.56

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Solution

The fourth proportional to 2,209.08, 3,313.56 and 565.56 is: 848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.08 : 3,313.56 = 565.56 : x
  2. Step 2: Convert to fraction form
    2,209.08/3,313.56 = 565.56/x
  3. Step 3: Cross multiply
    2,209.08x = 3,313.56 × 565.56
  4. Step 4: Simplify right side
    2,209.08x = 1,874,016.99
  5. Step 5: Solve for x
    x = 1,874,016.99/2,209.08
  6. Step 6: Final answer
    x = 848.32

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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.