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Finding the Fourth Proportional to 2,907.27, 4,009.86 and 2,234.97

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Solution

The fourth proportional to 2,907.27, 4,009.86 and 2,234.97 is: 3,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.27 : 4,009.86 = 2,234.97 : x
  2. Step 2: Convert to fraction form
    2,907.27/4,009.86 = 2,234.97/x
  3. Step 3: Cross multiply
    2,907.27x = 4,009.86 × 2,234.97
  4. Step 4: Simplify right side
    2,907.27x = 8,961,916.80
  5. Step 5: Solve for x
    x = 8,961,916.80/2,907.27
  6. Step 6: Final answer
    x = 3,082.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.