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Finding the Fourth Proportional to 3,167.44, 4,744.05 and 1,525.12

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Solution

The fourth proportional to 3,167.44, 4,744.05 and 1,525.12 is: 2,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.44 : 4,744.05 = 1,525.12 : x
  2. Step 2: Convert to fraction form
    3,167.44/4,744.05 = 1,525.12/x
  3. Step 3: Cross multiply
    3,167.44x = 4,744.05 × 1,525.12
  4. Step 4: Simplify right side
    3,167.44x = 7,235,245.54
  5. Step 5: Solve for x
    x = 7,235,245.54/3,167.44
  6. Step 6: Final answer
    x = 2,284.26

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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.