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Finding the Fourth Proportional to 2,764.53, 3,812.94 and 2,204.28

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Solution

The fourth proportional to 2,764.53, 3,812.94 and 2,204.28 is: 3,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.53 : 3,812.94 = 2,204.28 : x
  2. Step 2: Convert to fraction form
    2,764.53/3,812.94 = 2,204.28/x
  3. Step 3: Cross multiply
    2,764.53x = 3,812.94 × 2,204.28
  4. Step 4: Simplify right side
    2,764.53x = 8,404,787.38
  5. Step 5: Solve for x
    x = 8,404,787.38/2,764.53
  6. Step 6: Final answer
    x = 3,040.22

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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.