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Finding the Fourth Proportional to 3,131.42, 4,321.32 and 1,889.42

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Solution

The fourth proportional to 3,131.42, 4,321.32 and 1,889.42 is: 2,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.42 : 4,321.32 = 1,889.42 : x
  2. Step 2: Convert to fraction form
    3,131.42/4,321.32 = 1,889.42/x
  3. Step 3: Cross multiply
    3,131.42x = 4,321.32 × 1,889.42
  4. Step 4: Simplify right side
    3,131.42x = 8,164,788.43
  5. Step 5: Solve for x
    x = 8,164,788.43/3,131.42
  6. Step 6: Final answer
    x = 2,607.38

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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.