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Finding the Fourth Proportional to 1,956.14, 2,699.90 and 1,293.09

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Solution

The fourth proportional to 1,956.14, 2,699.90 and 1,293.09 is: 1,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.14 : 2,699.90 = 1,293.09 : x
  2. Step 2: Convert to fraction form
    1,956.14/2,699.90 = 1,293.09/x
  3. Step 3: Cross multiply
    1,956.14x = 2,699.90 × 1,293.09
  4. Step 4: Simplify right side
    1,956.14x = 3,491,213.69
  5. Step 5: Solve for x
    x = 3,491,213.69/1,956.14
  6. Step 6: Final answer
    x = 1,784.75

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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.