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Finding the Fourth Proportional to 3,364.38, 4,646.46 and 2,250

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Solution

The fourth proportional to 3,364.38, 4,646.46 and 2,250 is: 3,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.38 : 4,646.46 = 2,250 : x
  2. Step 2: Convert to fraction form
    3,364.38/4,646.46 = 2,250/x
  3. Step 3: Cross multiply
    3,364.38x = 4,646.46 × 2,250
  4. Step 4: Simplify right side
    3,364.38x = 10,454,535
  5. Step 5: Solve for x
    x = 10,454,535/3,364.38
  6. Step 6: Final answer
    x = 3,107.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.