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Finding the Fourth Proportional to 3,016.57, 4,525.16 and 825.29

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Solution

The fourth proportional to 3,016.57, 4,525.16 and 825.29 is: 1,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.57 : 4,525.16 = 825.29 : x
  2. Step 2: Convert to fraction form
    3,016.57/4,525.16 = 825.29/x
  3. Step 3: Cross multiply
    3,016.57x = 4,525.16 × 825.29
  4. Step 4: Simplify right side
    3,016.57x = 3,734,584.41
  5. Step 5: Solve for x
    x = 3,734,584.41/3,016.57
  6. Step 6: Final answer
    x = 1,238.02

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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.