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Finding the Fourth Proportional to 2,144.28, 3,215.26 and 989

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Solution

The fourth proportional to 2,144.28, 3,215.26 and 989 is: 1,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.28 : 3,215.26 = 989 : x
  2. Step 2: Convert to fraction form
    2,144.28/3,215.26 = 989/x
  3. Step 3: Cross multiply
    2,144.28x = 3,215.26 × 989
  4. Step 4: Simplify right side
    2,144.28x = 3,179,892.14
  5. Step 5: Solve for x
    x = 3,179,892.14/2,144.28
  6. Step 6: Final answer
    x = 1,482.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.