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Finding the Fourth Proportional to 2,763.96, 4,146.54 and 1,284.09

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Solution

The fourth proportional to 2,763.96, 4,146.54 and 1,284.09 is: 1,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.96 : 4,146.54 = 1,284.09 : x
  2. Step 2: Convert to fraction form
    2,763.96/4,146.54 = 1,284.09/x
  3. Step 3: Cross multiply
    2,763.96x = 4,146.54 × 1,284.09
  4. Step 4: Simplify right side
    2,763.96x = 5,324,530.55
  5. Step 5: Solve for x
    x = 5,324,530.55/2,763.96
  6. Step 6: Final answer
    x = 1,926.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.