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Finding the Fourth Proportional to 2,896.36, 3,997 and 2,232

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Solution

The fourth proportional to 2,896.36, 3,997 and 2,232 is: 3,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.36 : 3,997 = 2,232 : x
  2. Step 2: Convert to fraction form
    2,896.36/3,997 = 2,232/x
  3. Step 3: Cross multiply
    2,896.36x = 3,997 × 2,232
  4. Step 4: Simplify right side
    2,896.36x = 8,921,304
  5. Step 5: Solve for x
    x = 8,921,304/2,896.36
  6. Step 6: Final answer
    x = 3,080.18

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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.