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Finding the Fourth Proportional to 2,209.09, 3,313.51 and 565.54

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Solution

The fourth proportional to 2,209.09, 3,313.51 and 565.54 is: 848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.09 : 3,313.51 = 565.54 : x
  2. Step 2: Convert to fraction form
    2,209.09/3,313.51 = 565.54/x
  3. Step 3: Cross multiply
    2,209.09x = 3,313.51 × 565.54
  4. Step 4: Simplify right side
    2,209.09x = 1,873,922.45
  5. Step 5: Solve for x
    x = 1,873,922.45/2,209.09
  6. Step 6: Final answer
    x = 848.28

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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.