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Finding the Fourth Proportional to 2,286.54, 3,429.84 and 643.14

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Solution

The fourth proportional to 2,286.54, 3,429.84 and 643.14 is: 964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.54 : 3,429.84 = 643.14 : x
  2. Step 2: Convert to fraction form
    2,286.54/3,429.84 = 643.14/x
  3. Step 3: Cross multiply
    2,286.54x = 3,429.84 × 643.14
  4. Step 4: Simplify right side
    2,286.54x = 2,205,867.30
  5. Step 5: Solve for x
    x = 2,205,867.30/2,286.54
  6. Step 6: Final answer
    x = 964.72

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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.