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Finding the Fourth Proportional to 1,976.94, 2,966.01 and 822.78

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Solution

The fourth proportional to 1,976.94, 2,966.01 and 822.78 is: 1,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.94 : 2,966.01 = 822.78 : x
  2. Step 2: Convert to fraction form
    1,976.94/2,966.01 = 822.78/x
  3. Step 3: Cross multiply
    1,976.94x = 2,966.01 × 822.78
  4. Step 4: Simplify right side
    1,976.94x = 2,440,373.71
  5. Step 5: Solve for x
    x = 2,440,373.71/1,976.94
  6. Step 6: Final answer
    x = 1,234.42

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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.