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Finding the Fourth Proportional to 2,174.38, 2,998.56 and 1,428.97

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Solution

The fourth proportional to 2,174.38, 2,998.56 and 1,428.97 is: 1,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.38 : 2,998.56 = 1,428.97 : x
  2. Step 2: Convert to fraction form
    2,174.38/2,998.56 = 1,428.97/x
  3. Step 3: Cross multiply
    2,174.38x = 2,998.56 × 1,428.97
  4. Step 4: Simplify right side
    2,174.38x = 4,284,852.28
  5. Step 5: Solve for x
    x = 4,284,852.28/2,174.38
  6. Step 6: Final answer
    x = 1,970.61

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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.