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Finding the Fourth Proportional to 2,872.98, 4,309.89 and 1,412.22

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Solution

The fourth proportional to 2,872.98, 4,309.89 and 1,412.22 is: 2,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.98 : 4,309.89 = 1,412.22 : x
  2. Step 2: Convert to fraction form
    2,872.98/4,309.89 = 1,412.22/x
  3. Step 3: Cross multiply
    2,872.98x = 4,309.89 × 1,412.22
  4. Step 4: Simplify right side
    2,872.98x = 6,086,512.86
  5. Step 5: Solve for x
    x = 6,086,512.86/2,872.98
  6. Step 6: Final answer
    x = 2,118.54

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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.