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Finding the Fourth Proportional to 2,092.34, 3,138.17 and 705.65

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Solution

The fourth proportional to 2,092.34, 3,138.17 and 705.65 is: 1,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.34 : 3,138.17 = 705.65 : x
  2. Step 2: Convert to fraction form
    2,092.34/3,138.17 = 705.65/x
  3. Step 3: Cross multiply
    2,092.34x = 3,138.17 × 705.65
  4. Step 4: Simplify right side
    2,092.34x = 2,214,450.13
  5. Step 5: Solve for x
    x = 2,214,450.13/2,092.34
  6. Step 6: Final answer
    x = 1,058.36

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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.