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Finding the Fourth Proportional to 2,320.92, 3,481.52 and 677.33

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Solution

The fourth proportional to 2,320.92, 3,481.52 and 677.33 is: 1,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.92 : 3,481.52 = 677.33 : x
  2. Step 2: Convert to fraction form
    2,320.92/3,481.52 = 677.33/x
  3. Step 3: Cross multiply
    2,320.92x = 3,481.52 × 677.33
  4. Step 4: Simplify right side
    2,320.92x = 2,358,130.20
  5. Step 5: Solve for x
    x = 2,358,130.20/2,320.92
  6. Step 6: Final answer
    x = 1,016.03

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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.