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Finding the Fourth Proportional to 2,286.02, 3,429.22 and 642.70

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Solution

The fourth proportional to 2,286.02, 3,429.22 and 642.70 is: 964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.02 : 3,429.22 = 642.70 : x
  2. Step 2: Convert to fraction form
    2,286.02/3,429.22 = 642.70/x
  3. Step 3: Cross multiply
    2,286.02x = 3,429.22 × 642.70
  4. Step 4: Simplify right side
    2,286.02x = 2,203,959.69
  5. Step 5: Solve for x
    x = 2,203,959.69/2,286.02
  6. Step 6: Final answer
    x = 964.10

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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.