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Finding the Fourth Proportional to 2,286.83, 3,429.90 and 643.56

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Solution

The fourth proportional to 2,286.83, 3,429.90 and 643.56 is: 965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.83 : 3,429.90 = 643.56 : x
  2. Step 2: Convert to fraction form
    2,286.83/3,429.90 = 643.56/x
  3. Step 3: Cross multiply
    2,286.83x = 3,429.90 × 643.56
  4. Step 4: Simplify right side
    2,286.83x = 2,207,346.44
  5. Step 5: Solve for x
    x = 2,207,346.44/2,286.83
  6. Step 6: Final answer
    x = 965.25

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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.