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Finding the Fourth Proportional to 3,006.26, 4,509.36 and 815.20

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Solution

The fourth proportional to 3,006.26, 4,509.36 and 815.20 is: 1,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.26 : 4,509.36 = 815.20 : x
  2. Step 2: Convert to fraction form
    3,006.26/4,509.36 = 815.20/x
  3. Step 3: Cross multiply
    3,006.26x = 4,509.36 × 815.20
  4. Step 4: Simplify right side
    3,006.26x = 3,676,030.27
  5. Step 5: Solve for x
    x = 3,676,030.27/3,006.26
  6. Step 6: Final answer
    x = 1,222.79

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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.