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Finding the Fourth Proportional to 2,899.16, 3,996.94 and 2,267.24

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Solution

The fourth proportional to 2,899.16, 3,996.94 and 2,267.24 is: 3,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.16 : 3,996.94 = 2,267.24 : x
  2. Step 2: Convert to fraction form
    2,899.16/3,996.94 = 2,267.24/x
  3. Step 3: Cross multiply
    2,899.16x = 3,996.94 × 2,267.24
  4. Step 4: Simplify right side
    2,899.16x = 9,062,022.25
  5. Step 5: Solve for x
    x = 9,062,022.25/2,899.16
  6. Step 6: Final answer
    x = 3,125.74

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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.