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Finding the Fourth Proportional to 2,096.69, 2,892.11 and 1,256.82

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Solution

The fourth proportional to 2,096.69, 2,892.11 and 1,256.82 is: 1,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.69 : 2,892.11 = 1,256.82 : x
  2. Step 2: Convert to fraction form
    2,096.69/2,892.11 = 1,256.82/x
  3. Step 3: Cross multiply
    2,096.69x = 2,892.11 × 1,256.82
  4. Step 4: Simplify right side
    2,096.69x = 3,634,844.56
  5. Step 5: Solve for x
    x = 3,634,844.56/2,096.69
  6. Step 6: Final answer
    x = 1,733.61

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