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Finding the Fourth Proportional to 1,523.35, 2,101.26 and 963.64

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Solution

The fourth proportional to 1,523.35, 2,101.26 and 963.64 is: 1,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.35 : 2,101.26 = 963.64 : x
  2. Step 2: Convert to fraction form
    1,523.35/2,101.26 = 963.64/x
  3. Step 3: Cross multiply
    1,523.35x = 2,101.26 × 963.64
  4. Step 4: Simplify right side
    1,523.35x = 2,024,858.19
  5. Step 5: Solve for x
    x = 2,024,858.19/1,523.35
  6. Step 6: Final answer
    x = 1,329.21

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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.