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Finding the Fourth Proportional to 2,720.78, 3,754.84 and 1,541.78

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Solution

The fourth proportional to 2,720.78, 3,754.84 and 1,541.78 is: 2,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.78 : 3,754.84 = 1,541.78 : x
  2. Step 2: Convert to fraction form
    2,720.78/3,754.84 = 1,541.78/x
  3. Step 3: Cross multiply
    2,720.78x = 3,754.84 × 1,541.78
  4. Step 4: Simplify right side
    2,720.78x = 5,789,137.22
  5. Step 5: Solve for x
    x = 5,789,137.22/2,720.78
  6. Step 6: Final answer
    x = 2,127.75

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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.