Home / 2,078.85-3,119.52-829.22

Finding the Fourth Proportional to 2,078.85, 3,119.52 and 829.22

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Solution

The fourth proportional to 2,078.85, 3,119.52 and 829.22 is: 1,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.85 : 3,119.52 = 829.22 : x
  2. Step 2: Convert to fraction form
    2,078.85/3,119.52 = 829.22/x
  3. Step 3: Cross multiply
    2,078.85x = 3,119.52 × 829.22
  4. Step 4: Simplify right side
    2,078.85x = 2,586,776.17
  5. Step 5: Solve for x
    x = 2,586,776.17/2,078.85
  6. Step 6: Final answer
    x = 1,244.33

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1.5x scale

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.