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Finding the Fourth Proportional to 2,535.06, 3,804.12 and 892.83

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Solution

The fourth proportional to 2,535.06, 3,804.12 and 892.83 is: 1,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.06 : 3,804.12 = 892.83 : x
  2. Step 2: Convert to fraction form
    2,535.06/3,804.12 = 892.83/x
  3. Step 3: Cross multiply
    2,535.06x = 3,804.12 × 892.83
  4. Step 4: Simplify right side
    2,535.06x = 3,396,432.46
  5. Step 5: Solve for x
    x = 3,396,432.46/2,535.06
  6. Step 6: Final answer
    x = 1,339.78

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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.