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Finding the Fourth Proportional to 1,522.53, 2,102.09 and 963.23

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Solution

The fourth proportional to 1,522.53, 2,102.09 and 963.23 is: 1,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.53 : 2,102.09 = 963.23 : x
  2. Step 2: Convert to fraction form
    1,522.53/2,102.09 = 963.23/x
  3. Step 3: Cross multiply
    1,522.53x = 2,102.09 × 963.23
  4. Step 4: Simplify right side
    1,522.53x = 2,024,780.82
  5. Step 5: Solve for x
    x = 2,024,780.82/1,522.53
  6. Step 6: Final answer
    x = 1,329.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.