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Finding the Fourth Proportional to 2,121.57, 3,184.45 and 952.44

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Solution

The fourth proportional to 2,121.57, 3,184.45 and 952.44 is: 1,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.57 : 3,184.45 = 952.44 : x
  2. Step 2: Convert to fraction form
    2,121.57/3,184.45 = 952.44/x
  3. Step 3: Cross multiply
    2,121.57x = 3,184.45 × 952.44
  4. Step 4: Simplify right side
    2,121.57x = 3,032,983.24
  5. Step 5: Solve for x
    x = 3,032,983.24/2,121.57
  6. Step 6: Final answer
    x = 1,429.59

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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.