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Finding the Fourth Proportional to 3,002.69, 4,504.02 and 1,028.32

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Solution

The fourth proportional to 3,002.69, 4,504.02 and 1,028.32 is: 1,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.69 : 4,504.02 = 1,028.32 : x
  2. Step 2: Convert to fraction form
    3,002.69/4,504.02 = 1,028.32/x
  3. Step 3: Cross multiply
    3,002.69x = 4,504.02 × 1,028.32
  4. Step 4: Simplify right side
    3,002.69x = 4,631,573.85
  5. Step 5: Solve for x
    x = 4,631,573.85/3,002.69
  6. Step 6: Final answer
    x = 1,542.47

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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.