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Finding the Fourth Proportional to 3,016.92, 4,525.65 and 825.66

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Solution

The fourth proportional to 3,016.92, 4,525.65 and 825.66 is: 1,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.92 : 4,525.65 = 825.66 : x
  2. Step 2: Convert to fraction form
    3,016.92/4,525.65 = 825.66/x
  3. Step 3: Cross multiply
    3,016.92x = 4,525.65 × 825.66
  4. Step 4: Simplify right side
    3,016.92x = 3,736,648.18
  5. Step 5: Solve for x
    x = 3,736,648.18/3,016.92
  6. Step 6: Final answer
    x = 1,238.56

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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.