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Finding the Fourth Proportional to 2,126, 3,190.26 and 971.84

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Solution

The fourth proportional to 2,126, 3,190.26 and 971.84 is: 1,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126 : 3,190.26 = 971.84 : x
  2. Step 2: Convert to fraction form
    2,126/3,190.26 = 971.84/x
  3. Step 3: Cross multiply
    2,126x = 3,190.26 × 971.84
  4. Step 4: Simplify right side
    2,126x = 3,100,422.28
  5. Step 5: Solve for x
    x = 3,100,422.28/2,126
  6. Step 6: Final answer
    x = 1,458.34

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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.