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Finding the Fourth Proportional to 3,363.14, 4,640.54 and 1,946.58

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Solution

The fourth proportional to 3,363.14, 4,640.54 and 1,946.58 is: 2,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.14 : 4,640.54 = 1,946.58 : x
  2. Step 2: Convert to fraction form
    3,363.14/4,640.54 = 1,946.58/x
  3. Step 3: Cross multiply
    3,363.14x = 4,640.54 × 1,946.58
  4. Step 4: Simplify right side
    3,363.14x = 9,033,172.62
  5. Step 5: Solve for x
    x = 9,033,172.62/3,363.14
  6. Step 6: Final answer
    x = 2,685.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.