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Finding the Fourth Proportional to 2,171.48, 2,998.36 and 2,005.62

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Solution

The fourth proportional to 2,171.48, 2,998.36 and 2,005.62 is: 2,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.48 : 2,998.36 = 2,005.62 : x
  2. Step 2: Convert to fraction form
    2,171.48/2,998.36 = 2,005.62/x
  3. Step 3: Cross multiply
    2,171.48x = 2,998.36 × 2,005.62
  4. Step 4: Simplify right side
    2,171.48x = 6,013,570.78
  5. Step 5: Solve for x
    x = 6,013,570.78/2,171.48
  6. Step 6: Final answer
    x = 2,769.34

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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.