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Finding the Fourth Proportional to 2,286.09, 3,429.71 and 642.64

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Solution

The fourth proportional to 2,286.09, 3,429.71 and 642.64 is: 964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.09 : 3,429.71 = 642.64 : x
  2. Step 2: Convert to fraction form
    2,286.09/3,429.71 = 642.64/x
  3. Step 3: Cross multiply
    2,286.09x = 3,429.71 × 642.64
  4. Step 4: Simplify right side
    2,286.09x = 2,204,068.83
  5. Step 5: Solve for x
    x = 2,204,068.83/2,286.09
  6. Step 6: Final answer
    x = 964.12

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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.