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Finding the Fourth Proportional to 2,286.87, 3,430.31 and 643.43

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Solution

The fourth proportional to 2,286.87, 3,430.31 and 643.43 is: 965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.87 : 3,430.31 = 643.43 : x
  2. Step 2: Convert to fraction form
    2,286.87/3,430.31 = 643.43/x
  3. Step 3: Cross multiply
    2,286.87x = 3,430.31 × 643.43
  4. Step 4: Simplify right side
    2,286.87x = 2,207,143.99
  5. Step 5: Solve for x
    x = 2,207,143.99/2,286.87
  6. Step 6: Final answer
    x = 965.14

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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.