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Finding the Fourth Proportional to 2,721.78, 3,754.89 and 2,129.94

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Solution

The fourth proportional to 2,721.78, 3,754.89 and 2,129.94 is: 2,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.78 : 3,754.89 = 2,129.94 : x
  2. Step 2: Convert to fraction form
    2,721.78/3,754.89 = 2,129.94/x
  3. Step 3: Cross multiply
    2,721.78x = 3,754.89 × 2,129.94
  4. Step 4: Simplify right side
    2,721.78x = 7,997,690.41
  5. Step 5: Solve for x
    x = 7,997,690.41/2,721.78
  6. Step 6: Final answer
    x = 2,938.40

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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.