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Finding the Fourth Proportional to 3,323.38, 4,977.57 and 1,680.49

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Solution

The fourth proportional to 3,323.38, 4,977.57 and 1,680.49 is: 2,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.38 : 4,977.57 = 1,680.49 : x
  2. Step 2: Convert to fraction form
    3,323.38/4,977.57 = 1,680.49/x
  3. Step 3: Cross multiply
    3,323.38x = 4,977.57 × 1,680.49
  4. Step 4: Simplify right side
    3,323.38x = 8,364,756.61
  5. Step 5: Solve for x
    x = 8,364,756.61/3,323.38
  6. Step 6: Final answer
    x = 2,516.94

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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.