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Finding the Fourth Proportional to 1,976.49, 2,963.76 and 1,226.08

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Solution

The fourth proportional to 1,976.49, 2,963.76 and 1,226.08 is: 1,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.49 : 2,963.76 = 1,226.08 : x
  2. Step 2: Convert to fraction form
    1,976.49/2,963.76 = 1,226.08/x
  3. Step 3: Cross multiply
    1,976.49x = 2,963.76 × 1,226.08
  4. Step 4: Simplify right side
    1,976.49x = 3,633,785.91
  5. Step 5: Solve for x
    x = 3,633,785.91/1,976.49
  6. Step 6: Final answer
    x = 1,838.50

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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.