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Finding the Fourth Proportional to 2,072.66, 3,105.04 and 1,377.23

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Solution

The fourth proportional to 2,072.66, 3,105.04 and 1,377.23 is: 2,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.66 : 3,105.04 = 1,377.23 : x
  2. Step 2: Convert to fraction form
    2,072.66/3,105.04 = 1,377.23/x
  3. Step 3: Cross multiply
    2,072.66x = 3,105.04 × 1,377.23
  4. Step 4: Simplify right side
    2,072.66x = 4,276,354.24
  5. Step 5: Solve for x
    x = 4,276,354.24/2,072.66
  6. Step 6: Final answer
    x = 2,063.22

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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.