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Finding the Fourth Proportional to 1,998.86, 2,995.89 and 1,412.97

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Solution

The fourth proportional to 1,998.86, 2,995.89 and 1,412.97 is: 2,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.86 : 2,995.89 = 1,412.97 : x
  2. Step 2: Convert to fraction form
    1,998.86/2,995.89 = 1,412.97/x
  3. Step 3: Cross multiply
    1,998.86x = 2,995.89 × 1,412.97
  4. Step 4: Simplify right side
    1,998.86x = 4,233,102.69
  5. Step 5: Solve for x
    x = 4,233,102.69/1,998.86
  6. Step 6: Final answer
    x = 2,117.76

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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.