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Finding the Fourth Proportional to 2,209.04, 3,313.68 and 565.61

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Solution

The fourth proportional to 2,209.04, 3,313.68 and 565.61 is: 848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.04 : 3,313.68 = 565.61 : x
  2. Step 2: Convert to fraction form
    2,209.04/3,313.68 = 565.61/x
  3. Step 3: Cross multiply
    2,209.04x = 3,313.68 × 565.61
  4. Step 4: Simplify right side
    2,209.04x = 1,874,233.98
  5. Step 5: Solve for x
    x = 1,874,233.98/2,209.04
  6. Step 6: Final answer
    x = 848.44

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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.