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Finding the Fourth Proportional to 2,209.07, 3,313.59 and 565.61

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Solution

The fourth proportional to 2,209.07, 3,313.59 and 565.61 is: 848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.07 : 3,313.59 = 565.61 : x
  2. Step 2: Convert to fraction form
    2,209.07/3,313.59 = 565.61/x
  3. Step 3: Cross multiply
    2,209.07x = 3,313.59 × 565.61
  4. Step 4: Simplify right side
    2,209.07x = 1,874,183.07
  5. Step 5: Solve for x
    x = 1,874,183.07/2,209.07
  6. Step 6: Final answer
    x = 848.41

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