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Finding the Fourth Proportional to 2,331.58, 3,213.49 and 2,073.93

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Solution

The fourth proportional to 2,331.58, 3,213.49 and 2,073.93 is: 2,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.58 : 3,213.49 = 2,073.93 : x
  2. Step 2: Convert to fraction form
    2,331.58/3,213.49 = 2,073.93/x
  3. Step 3: Cross multiply
    2,331.58x = 3,213.49 × 2,073.93
  4. Step 4: Simplify right side
    2,331.58x = 6,664,553.32
  5. Step 5: Solve for x
    x = 6,664,553.32/2,331.58
  6. Step 6: Final answer
    x = 2,858.39

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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.