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Finding the Fourth Proportional to 3,155.24, 4,733.26 and 963.58

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Solution

The fourth proportional to 3,155.24, 4,733.26 and 963.58 is: 1,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.24 : 4,733.26 = 963.58 : x
  2. Step 2: Convert to fraction form
    3,155.24/4,733.26 = 963.58/x
  3. Step 3: Cross multiply
    3,155.24x = 4,733.26 × 963.58
  4. Step 4: Simplify right side
    3,155.24x = 4,560,874.67
  5. Step 5: Solve for x
    x = 4,560,874.67/3,155.24
  6. Step 6: Final answer
    x = 1,445.49

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1.5x scale

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.