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Finding the Fourth Proportional to 2,286, 3,428.33 and 725.94

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Solution

The fourth proportional to 2,286, 3,428.33 and 725.94 is: 1,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286 : 3,428.33 = 725.94 : x
  2. Step 2: Convert to fraction form
    2,286/3,428.33 = 725.94/x
  3. Step 3: Cross multiply
    2,286x = 3,428.33 × 725.94
  4. Step 4: Simplify right side
    2,286x = 2,488,758.25
  5. Step 5: Solve for x
    x = 2,488,758.25/2,286
  6. Step 6: Final answer
    x = 1,088.70

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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.