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Finding the Fourth Proportional to 2,286.92, 3,435 and 1,364.30

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Solution

The fourth proportional to 2,286.92, 3,435 and 1,364.30 is: 2,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.92 : 3,435 = 1,364.30 : x
  2. Step 2: Convert to fraction form
    2,286.92/3,435 = 1,364.30/x
  3. Step 3: Cross multiply
    2,286.92x = 3,435 × 1,364.30
  4. Step 4: Simplify right side
    2,286.92x = 4,686,370.50
  5. Step 5: Solve for x
    x = 4,686,370.50/2,286.92
  6. Step 6: Final answer
    x = 2,049.21

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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.