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Finding the Fourth Proportional to 2,989.44, 4,486.50 and 2,071.44

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Solution

The fourth proportional to 2,989.44, 4,486.50 and 2,071.44 is: 3,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.44 : 4,486.50 = 2,071.44 : x
  2. Step 2: Convert to fraction form
    2,989.44/4,486.50 = 2,071.44/x
  3. Step 3: Cross multiply
    2,989.44x = 4,486.50 × 2,071.44
  4. Step 4: Simplify right side
    2,989.44x = 9,293,515.56
  5. Step 5: Solve for x
    x = 9,293,515.56/2,989.44
  6. Step 6: Final answer
    x = 3,108.78

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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.