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Finding the Fourth Proportional to 2,153.06, 3,229.65 and 614.06

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Solution

The fourth proportional to 2,153.06, 3,229.65 and 614.06 is: 921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.06 : 3,229.65 = 614.06 : x
  2. Step 2: Convert to fraction form
    2,153.06/3,229.65 = 614.06/x
  3. Step 3: Cross multiply
    2,153.06x = 3,229.65 × 614.06
  4. Step 4: Simplify right side
    2,153.06x = 1,983,198.88
  5. Step 5: Solve for x
    x = 1,983,198.88/2,153.06
  6. Step 6: Final answer
    x = 921.11

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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.