Home / 2,058.20-3,084.60-824.60

Finding the Fourth Proportional to 2,058.20, 3,084.60 and 824.60

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Solution

The fourth proportional to 2,058.20, 3,084.60 and 824.60 is: 1,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.20 : 3,084.60 = 824.60 : x
  2. Step 2: Convert to fraction form
    2,058.20/3,084.60 = 824.60/x
  3. Step 3: Cross multiply
    2,058.20x = 3,084.60 × 824.60
  4. Step 4: Simplify right side
    2,058.20x = 2,543,561.16
  5. Step 5: Solve for x
    x = 2,543,561.16/2,058.20
  6. Step 6: Final answer
    x = 1,235.82

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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.