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Finding the Fourth Proportional to 2,764.92, 3,817.02 and 2,134.07

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Solution

The fourth proportional to 2,764.92, 3,817.02 and 2,134.07 is: 2,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.92 : 3,817.02 = 2,134.07 : x
  2. Step 2: Convert to fraction form
    2,764.92/3,817.02 = 2,134.07/x
  3. Step 3: Cross multiply
    2,764.92x = 3,817.02 × 2,134.07
  4. Step 4: Simplify right side
    2,764.92x = 8,145,787.87
  5. Step 5: Solve for x
    x = 8,145,787.87/2,764.92
  6. Step 6: Final answer
    x = 2,946.12

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Why These Related Problems?

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