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Finding the Fourth Proportional to 2,121.52, 3,182.42 and 734.99

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Solution

The fourth proportional to 2,121.52, 3,182.42 and 734.99 is: 1,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.52 : 3,182.42 = 734.99 : x
  2. Step 2: Convert to fraction form
    2,121.52/3,182.42 = 734.99/x
  3. Step 3: Cross multiply
    2,121.52x = 3,182.42 × 734.99
  4. Step 4: Simplify right side
    2,121.52x = 2,339,046.88
  5. Step 5: Solve for x
    x = 2,339,046.88/2,121.52
  6. Step 6: Final answer
    x = 1,102.53

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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.