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Finding the Fourth Proportional to 1,966.46, 2,950.97 and 734.85

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Solution

The fourth proportional to 1,966.46, 2,950.97 and 734.85 is: 1,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.46 : 2,950.97 = 734.85 : x
  2. Step 2: Convert to fraction form
    1,966.46/2,950.97 = 734.85/x
  3. Step 3: Cross multiply
    1,966.46x = 2,950.97 × 734.85
  4. Step 4: Simplify right side
    1,966.46x = 2,168,516.63
  5. Step 5: Solve for x
    x = 2,168,516.63/1,966.46
  6. Step 6: Final answer
    x = 1,102.75

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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.