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Finding the Fourth Proportional to 3,267.44, 4,901.97 and 958.94

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Solution

The fourth proportional to 3,267.44, 4,901.97 and 958.94 is: 1,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.44 : 4,901.97 = 958.94 : x
  2. Step 2: Convert to fraction form
    3,267.44/4,901.97 = 958.94/x
  3. Step 3: Cross multiply
    3,267.44x = 4,901.97 × 958.94
  4. Step 4: Simplify right side
    3,267.44x = 4,700,695.11
  5. Step 5: Solve for x
    x = 4,700,695.11/3,267.44
  6. Step 6: Final answer
    x = 1,438.65

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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.