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Finding the Fourth Proportional to 2,062.08, 3,093.51 and 829.59

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Solution

The fourth proportional to 2,062.08, 3,093.51 and 829.59 is: 1,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.08 : 3,093.51 = 829.59 : x
  2. Step 2: Convert to fraction form
    2,062.08/3,093.51 = 829.59/x
  3. Step 3: Cross multiply
    2,062.08x = 3,093.51 × 829.59
  4. Step 4: Simplify right side
    2,062.08x = 2,566,344.96
  5. Step 5: Solve for x
    x = 2,566,344.96/2,062.08
  6. Step 6: Final answer
    x = 1,244.54

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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.