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Finding the Fourth Proportional to 2,536.94, 3,804.45 and 1,076.78

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Solution

The fourth proportional to 2,536.94, 3,804.45 and 1,076.78 is: 1,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.94 : 3,804.45 = 1,076.78 : x
  2. Step 2: Convert to fraction form
    2,536.94/3,804.45 = 1,076.78/x
  3. Step 3: Cross multiply
    2,536.94x = 3,804.45 × 1,076.78
  4. Step 4: Simplify right side
    2,536.94x = 4,096,555.67
  5. Step 5: Solve for x
    x = 4,096,555.67/2,536.94
  6. Step 6: Final answer
    x = 1,614.76

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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.