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Finding the Fourth Proportional to 2,267, 3,126.36 and 1,426.64

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Solution

The fourth proportional to 2,267, 3,126.36 and 1,426.64 is: 1,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267 : 3,126.36 = 1,426.64 : x
  2. Step 2: Convert to fraction form
    2,267/3,126.36 = 1,426.64/x
  3. Step 3: Cross multiply
    2,267x = 3,126.36 × 1,426.64
  4. Step 4: Simplify right side
    2,267x = 4,460,190.23
  5. Step 5: Solve for x
    x = 4,460,190.23/2,267
  6. Step 6: Final answer
    x = 1,967.44

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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.