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Finding the Fourth Proportional to 2,216.75, 3,325.62 and 967.54

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Solution

The fourth proportional to 2,216.75, 3,325.62 and 967.54 is: 1,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.75 : 3,325.62 = 967.54 : x
  2. Step 2: Convert to fraction form
    2,216.75/3,325.62 = 967.54/x
  3. Step 3: Cross multiply
    2,216.75x = 3,325.62 × 967.54
  4. Step 4: Simplify right side
    2,216.75x = 3,217,670.90
  5. Step 5: Solve for x
    x = 3,217,670.90/2,216.75
  6. Step 6: Final answer
    x = 1,451.53

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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.