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Finding the Fourth Proportional to 3,282.69, 4,924.05 and 1,334.43

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Solution

The fourth proportional to 3,282.69, 4,924.05 and 1,334.43 is: 2,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.69 : 4,924.05 = 1,334.43 : x
  2. Step 2: Convert to fraction form
    3,282.69/4,924.05 = 1,334.43/x
  3. Step 3: Cross multiply
    3,282.69x = 4,924.05 × 1,334.43
  4. Step 4: Simplify right side
    3,282.69x = 6,570,800.04
  5. Step 5: Solve for x
    x = 6,570,800.04/3,282.69
  6. Step 6: Final answer
    x = 2,001.65

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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.