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Finding the Fourth Proportional to 2,914.83, 4,370.81 and 966.38

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Solution

The fourth proportional to 2,914.83, 4,370.81 and 966.38 is: 1,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.83 : 4,370.81 = 966.38 : x
  2. Step 2: Convert to fraction form
    2,914.83/4,370.81 = 966.38/x
  3. Step 3: Cross multiply
    2,914.83x = 4,370.81 × 966.38
  4. Step 4: Simplify right side
    2,914.83x = 4,223,836.68
  5. Step 5: Solve for x
    x = 4,223,836.68/2,914.83
  6. Step 6: Final answer
    x = 1,449.09

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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.