Home / 2,092.16-3,138.80-705.60

Finding the Fourth Proportional to 2,092.16, 3,138.80 and 705.60

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Solution

The fourth proportional to 2,092.16, 3,138.80 and 705.60 is: 1,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.16 : 3,138.80 = 705.60 : x
  2. Step 2: Convert to fraction form
    2,092.16/3,138.80 = 705.60/x
  3. Step 3: Cross multiply
    2,092.16x = 3,138.80 × 705.60
  4. Step 4: Simplify right side
    2,092.16x = 2,214,737.28
  5. Step 5: Solve for x
    x = 2,214,737.28/2,092.16
  6. Step 6: Final answer
    x = 1,058.59

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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.