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Finding the Fourth Proportional to 1,522.97, 2,102.98 and 964.42

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Solution

The fourth proportional to 1,522.97, 2,102.98 and 964.42 is: 1,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.97 : 2,102.98 = 964.42 : x
  2. Step 2: Convert to fraction form
    1,522.97/2,102.98 = 964.42/x
  3. Step 3: Cross multiply
    1,522.97x = 2,102.98 × 964.42
  4. Step 4: Simplify right side
    1,522.97x = 2,028,151.15
  5. Step 5: Solve for x
    x = 2,028,151.15/1,522.97
  6. Step 6: Final answer
    x = 1,331.71

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1.5x scale

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.