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Finding the Fourth Proportional to 3,301.34, 4,950.85 and 960.71

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Solution

The fourth proportional to 3,301.34, 4,950.85 and 960.71 is: 1,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.34 : 4,950.85 = 960.71 : x
  2. Step 2: Convert to fraction form
    3,301.34/4,950.85 = 960.71/x
  3. Step 3: Cross multiply
    3,301.34x = 4,950.85 × 960.71
  4. Step 4: Simplify right side
    3,301.34x = 4,756,331.10
  5. Step 5: Solve for x
    x = 4,756,331.10/3,301.34
  6. Step 6: Final answer
    x = 1,440.73

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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.