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Finding the Fourth Proportional to 2,134.73, 2,945.09 and 1,576.52

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Solution

The fourth proportional to 2,134.73, 2,945.09 and 1,576.52 is: 2,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.73 : 2,945.09 = 1,576.52 : x
  2. Step 2: Convert to fraction form
    2,134.73/2,945.09 = 1,576.52/x
  3. Step 3: Cross multiply
    2,134.73x = 2,945.09 × 1,576.52
  4. Step 4: Simplify right side
    2,134.73x = 4,642,970.68
  5. Step 5: Solve for x
    x = 4,642,970.68/2,134.73
  6. Step 6: Final answer
    x = 2,174.97

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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.