Home / 2,058.12-3,084.09-961.20

Finding the Fourth Proportional to 2,058.12, 3,084.09 and 961.20

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Solution

The fourth proportional to 2,058.12, 3,084.09 and 961.20 is: 1,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.12 : 3,084.09 = 961.20 : x
  2. Step 2: Convert to fraction form
    2,058.12/3,084.09 = 961.20/x
  3. Step 3: Cross multiply
    2,058.12x = 3,084.09 × 961.20
  4. Step 4: Simplify right side
    2,058.12x = 2,964,427.31
  5. Step 5: Solve for x
    x = 2,964,427.31/2,058.12
  6. Step 6: Final answer
    x = 1,440.36

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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.