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Finding the Fourth Proportional to 3,154.95, 4,733.45 and 963.67

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Solution

The fourth proportional to 3,154.95, 4,733.45 and 963.67 is: 1,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.95 : 4,733.45 = 963.67 : x
  2. Step 2: Convert to fraction form
    3,154.95/4,733.45 = 963.67/x
  3. Step 3: Cross multiply
    3,154.95x = 4,733.45 × 963.67
  4. Step 4: Simplify right side
    3,154.95x = 4,561,478.94
  5. Step 5: Solve for x
    x = 4,561,478.94/3,154.95
  6. Step 6: Final answer
    x = 1,445.82

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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.