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Finding the Fourth Proportional to 2,126.76, 3,204.96 and 1,968

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Solution

The fourth proportional to 2,126.76, 3,204.96 and 1,968 is: 2,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.76 : 3,204.96 = 1,968 : x
  2. Step 2: Convert to fraction form
    2,126.76/3,204.96 = 1,968/x
  3. Step 3: Cross multiply
    2,126.76x = 3,204.96 × 1,968
  4. Step 4: Simplify right side
    2,126.76x = 6,307,361.28
  5. Step 5: Solve for x
    x = 6,307,361.28/2,126.76
  6. Step 6: Final answer
    x = 2,965.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.