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Finding the Fourth Proportional to 3,272.69, 4,907.17 and 2,233.95

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Solution

The fourth proportional to 3,272.69, 4,907.17 and 2,233.95 is: 3,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.69 : 4,907.17 = 2,233.95 : x
  2. Step 2: Convert to fraction form
    3,272.69/4,907.17 = 2,233.95/x
  3. Step 3: Cross multiply
    3,272.69x = 4,907.17 × 2,233.95
  4. Step 4: Simplify right side
    3,272.69x = 10,962,356.81
  5. Step 5: Solve for x
    x = 10,962,356.81/3,272.69
  6. Step 6: Final answer
    x = 3,349.65

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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.