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Finding the Fourth Proportional to 2,132.45, 3,197.91 and 816.57

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Solution

The fourth proportional to 2,132.45, 3,197.91 and 816.57 is: 1,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.45 : 3,197.91 = 816.57 : x
  2. Step 2: Convert to fraction form
    2,132.45/3,197.91 = 816.57/x
  3. Step 3: Cross multiply
    2,132.45x = 3,197.91 × 816.57
  4. Step 4: Simplify right side
    2,132.45x = 2,611,317.37
  5. Step 5: Solve for x
    x = 2,611,317.37/2,132.45
  6. Step 6: Final answer
    x = 1,224.56

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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.