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Finding the Fourth Proportional to 1,522.68, 2,101.30 and 963.39

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Solution

The fourth proportional to 1,522.68, 2,101.30 and 963.39 is: 1,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.68 : 2,101.30 = 963.39 : x
  2. Step 2: Convert to fraction form
    1,522.68/2,101.30 = 963.39/x
  3. Step 3: Cross multiply
    1,522.68x = 2,101.30 × 963.39
  4. Step 4: Simplify right side
    1,522.68x = 2,024,371.41
  5. Step 5: Solve for x
    x = 2,024,371.41/1,522.68
  6. Step 6: Final answer
    x = 1,329.48

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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.