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Finding the Fourth Proportional to 2,536.96, 3,807.84 and 1,383.52

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Solution

The fourth proportional to 2,536.96, 3,807.84 and 1,383.52 is: 2,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.96 : 3,807.84 = 1,383.52 : x
  2. Step 2: Convert to fraction form
    2,536.96/3,807.84 = 1,383.52/x
  3. Step 3: Cross multiply
    2,536.96x = 3,807.84 × 1,383.52
  4. Step 4: Simplify right side
    2,536.96x = 5,268,222.80
  5. Step 5: Solve for x
    x = 5,268,222.80/2,536.96
  6. Step 6: Final answer
    x = 2,076.59

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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.