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Finding the Fourth Proportional to 2,896.86, 4,324.09 and 2,488.62

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Solution

The fourth proportional to 2,896.86, 4,324.09 and 2,488.62 is: 3,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.86 : 4,324.09 = 2,488.62 : x
  2. Step 2: Convert to fraction form
    2,896.86/4,324.09 = 2,488.62/x
  3. Step 3: Cross multiply
    2,896.86x = 4,324.09 × 2,488.62
  4. Step 4: Simplify right side
    2,896.86x = 10,761,004.41
  5. Step 5: Solve for x
    x = 10,761,004.41/2,896.86
  6. Step 6: Final answer
    x = 3,714.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.