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Finding the Fourth Proportional to 2,207.23, 3,309.59 and 891.61

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Solution

The fourth proportional to 2,207.23, 3,309.59 and 891.61 is: 1,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.23 : 3,309.59 = 891.61 : x
  2. Step 2: Convert to fraction form
    2,207.23/3,309.59 = 891.61/x
  3. Step 3: Cross multiply
    2,207.23x = 3,309.59 × 891.61
  4. Step 4: Simplify right side
    2,207.23x = 2,950,857.49
  5. Step 5: Solve for x
    x = 2,950,857.49/2,207.23
  6. Step 6: Final answer
    x = 1,336.91

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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.