Home / 2,166.24-3,250.14-705.39

Finding the Fourth Proportional to 2,166.24, 3,250.14 and 705.39

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Solution

The fourth proportional to 2,166.24, 3,250.14 and 705.39 is: 1,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.24 : 3,250.14 = 705.39 : x
  2. Step 2: Convert to fraction form
    2,166.24/3,250.14 = 705.39/x
  3. Step 3: Cross multiply
    2,166.24x = 3,250.14 × 705.39
  4. Step 4: Simplify right side
    2,166.24x = 2,292,616.25
  5. Step 5: Solve for x
    x = 2,292,616.25/2,166.24
  6. Step 6: Final answer
    x = 1,058.34

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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.