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Finding the Fourth Proportional to 2,093.12, 3,137.49 and 705.97

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Solution

The fourth proportional to 2,093.12, 3,137.49 and 705.97 is: 1,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.12 : 3,137.49 = 705.97 : x
  2. Step 2: Convert to fraction form
    2,093.12/3,137.49 = 705.97/x
  3. Step 3: Cross multiply
    2,093.12x = 3,137.49 × 705.97
  4. Step 4: Simplify right side
    2,093.12x = 2,214,977.74
  5. Step 5: Solve for x
    x = 2,214,977.74/2,093.12
  6. Step 6: Final answer
    x = 1,058.22

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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.