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Finding the Fourth Proportional to 2,286.75, 3,429.45 and 970.49

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Solution

The fourth proportional to 2,286.75, 3,429.45 and 970.49 is: 1,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.75 : 3,429.45 = 970.49 : x
  2. Step 2: Convert to fraction form
    2,286.75/3,429.45 = 970.49/x
  3. Step 3: Cross multiply
    2,286.75x = 3,429.45 × 970.49
  4. Step 4: Simplify right side
    2,286.75x = 3,328,236.21
  5. Step 5: Solve for x
    x = 3,328,236.21/2,286.75
  6. Step 6: Final answer
    x = 1,455.44

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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.