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Finding the Fourth Proportional to 2,304.39, 3,164 and 2,244.25

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Solution

The fourth proportional to 2,304.39, 3,164 and 2,244.25 is: 3,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.39 : 3,164 = 2,244.25 : x
  2. Step 2: Convert to fraction form
    2,304.39/3,164 = 2,244.25/x
  3. Step 3: Cross multiply
    2,304.39x = 3,164 × 2,244.25
  4. Step 4: Simplify right side
    2,304.39x = 7,100,807
  5. Step 5: Solve for x
    x = 7,100,807/2,304.39
  6. Step 6: Final answer
    x = 3,081.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.