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Finding the Fourth Proportional to 2,763.43, 3,810.91 and 2,132.94

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Solution

The fourth proportional to 2,763.43, 3,810.91 and 2,132.94 is: 2,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.43 : 3,810.91 = 2,132.94 : x
  2. Step 2: Convert to fraction form
    2,763.43/3,810.91 = 2,132.94/x
  3. Step 3: Cross multiply
    2,763.43x = 3,810.91 × 2,132.94
  4. Step 4: Simplify right side
    2,763.43x = 8,128,442.38
  5. Step 5: Solve for x
    x = 8,128,442.38/2,763.43
  6. Step 6: Final answer
    x = 2,941.43

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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.