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Finding the Fourth Proportional to 1,956.16, 2,696.32 and 1,365.68

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Solution

The fourth proportional to 1,956.16, 2,696.32 and 1,365.68 is: 1,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.16 : 2,696.32 = 1,365.68 : x
  2. Step 2: Convert to fraction form
    1,956.16/2,696.32 = 1,365.68/x
  3. Step 3: Cross multiply
    1,956.16x = 2,696.32 × 1,365.68
  4. Step 4: Simplify right side
    1,956.16x = 3,682,310.30
  5. Step 5: Solve for x
    x = 3,682,310.30/1,956.16
  6. Step 6: Final answer
    x = 1,882.42

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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.