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Finding the Fourth Proportional to 2,062.10, 3,093.29 and 829.51

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Solution

The fourth proportional to 2,062.10, 3,093.29 and 829.51 is: 1,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.10 : 3,093.29 = 829.51 : x
  2. Step 2: Convert to fraction form
    2,062.10/3,093.29 = 829.51/x
  3. Step 3: Cross multiply
    2,062.10x = 3,093.29 × 829.51
  4. Step 4: Simplify right side
    2,062.10x = 2,565,922.72
  5. Step 5: Solve for x
    x = 2,565,922.72/2,062.10
  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.