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Finding the Fourth Proportional to 2,899.44, 4,002.96 and 1,906.38

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Solution

The fourth proportional to 2,899.44, 4,002.96 and 1,906.38 is: 2,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.44 : 4,002.96 = 1,906.38 : x
  2. Step 2: Convert to fraction form
    2,899.44/4,002.96 = 1,906.38/x
  3. Step 3: Cross multiply
    2,899.44x = 4,002.96 × 1,906.38
  4. Step 4: Simplify right side
    2,899.44x = 7,631,162.88
  5. Step 5: Solve for x
    x = 7,631,162.88/2,899.44
  6. Step 6: Final answer
    x = 2,631.94

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Why These Related Problems?

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