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Finding the Fourth Proportional to 2,191.16, 3,286.98 and 958.92

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Solution

The fourth proportional to 2,191.16, 3,286.98 and 958.92 is: 1,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.16 : 3,286.98 = 958.92 : x
  2. Step 2: Convert to fraction form
    2,191.16/3,286.98 = 958.92/x
  3. Step 3: Cross multiply
    2,191.16x = 3,286.98 × 958.92
  4. Step 4: Simplify right side
    2,191.16x = 3,151,950.86
  5. Step 5: Solve for x
    x = 3,151,950.86/2,191.16
  6. Step 6: Final answer
    x = 1,438.49

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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.