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Finding the Fourth Proportional to 2,872.05, 4,309.10 and 1,412.22

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Solution

The fourth proportional to 2,872.05, 4,309.10 and 1,412.22 is: 2,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.05 : 4,309.10 = 1,412.22 : x
  2. Step 2: Convert to fraction form
    2,872.05/4,309.10 = 1,412.22/x
  3. Step 3: Cross multiply
    2,872.05x = 4,309.10 × 1,412.22
  4. Step 4: Simplify right side
    2,872.05x = 6,085,397.20
  5. Step 5: Solve for x
    x = 6,085,397.20/2,872.05
  6. Step 6: Final answer
    x = 2,118.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.