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Finding the Fourth Proportional to 2,153.53, 3,230.84 and 614.53

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Solution

The fourth proportional to 2,153.53, 3,230.84 and 614.53 is: 921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.53 : 3,230.84 = 614.53 : x
  2. Step 2: Convert to fraction form
    2,153.53/3,230.84 = 614.53/x
  3. Step 3: Cross multiply
    2,153.53x = 3,230.84 × 614.53
  4. Step 4: Simplify right side
    2,153.53x = 1,985,453.68
  5. Step 5: Solve for x
    x = 1,985,453.68/2,153.53
  6. Step 6: Final answer
    x = 921.95

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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.