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Finding the Fourth Proportional to 2,760.76, 4,141.74 and 1,201

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Solution

The fourth proportional to 2,760.76, 4,141.74 and 1,201 is: 1,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.76 : 4,141.74 = 1,201 : x
  2. Step 2: Convert to fraction form
    2,760.76/4,141.74 = 1,201/x
  3. Step 3: Cross multiply
    2,760.76x = 4,141.74 × 1,201
  4. Step 4: Simplify right side
    2,760.76x = 4,974,229.74
  5. Step 5: Solve for x
    x = 4,974,229.74/2,760.76
  6. Step 6: Final answer
    x = 1,801.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.