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Finding the Fourth Proportional to 3,005.29, 4,507.26 and 814.20

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Solution

The fourth proportional to 3,005.29, 4,507.26 and 814.20 is: 1,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.29 : 4,507.26 = 814.20 : x
  2. Step 2: Convert to fraction form
    3,005.29/4,507.26 = 814.20/x
  3. Step 3: Cross multiply
    3,005.29x = 4,507.26 × 814.20
  4. Step 4: Simplify right side
    3,005.29x = 3,669,811.09
  5. Step 5: Solve for x
    x = 3,669,811.09/3,005.29
  6. Step 6: Final answer
    x = 1,221.12

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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.