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Finding the Fourth Proportional to 2,976.66, 4,463.64 and 2,152.62

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Solution

The fourth proportional to 2,976.66, 4,463.64 and 2,152.62 is: 3,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.66 : 4,463.64 = 2,152.62 : x
  2. Step 2: Convert to fraction form
    2,976.66/4,463.64 = 2,152.62/x
  3. Step 3: Cross multiply
    2,976.66x = 4,463.64 × 2,152.62
  4. Step 4: Simplify right side
    2,976.66x = 9,608,520.74
  5. Step 5: Solve for x
    x = 9,608,520.74/2,976.66
  6. Step 6: Final answer
    x = 3,227.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.