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Finding the Fourth Proportional to 2,153.76, 3,230.64 and 614.80

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Solution

The fourth proportional to 2,153.76, 3,230.64 and 614.80 is: 922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.76 : 3,230.64 = 614.80 : x
  2. Step 2: Convert to fraction form
    2,153.76/3,230.64 = 614.80/x
  3. Step 3: Cross multiply
    2,153.76x = 3,230.64 × 614.80
  4. Step 4: Simplify right side
    2,153.76x = 1,986,197.47
  5. Step 5: Solve for x
    x = 1,986,197.47/2,153.76
  6. Step 6: Final answer
    x = 922.20

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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.