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Finding the Fourth Proportional to 3,006.21, 4,509.24 and 814.89

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Solution

The fourth proportional to 3,006.21, 4,509.24 and 814.89 is: 1,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.21 : 4,509.24 = 814.89 : x
  2. Step 2: Convert to fraction form
    3,006.21/4,509.24 = 814.89/x
  3. Step 3: Cross multiply
    3,006.21x = 4,509.24 × 814.89
  4. Step 4: Simplify right side
    3,006.21x = 3,674,517.27
  5. Step 5: Solve for x
    x = 3,674,517.27/3,006.21
  6. Step 6: Final answer
    x = 1,222.31

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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.