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Finding the Fourth Proportional to 2,826.56, 4,240.32 and 878.38

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Solution

The fourth proportional to 2,826.56, 4,240.32 and 878.38 is: 1,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.56 : 4,240.32 = 878.38 : x
  2. Step 2: Convert to fraction form
    2,826.56/4,240.32 = 878.38/x
  3. Step 3: Cross multiply
    2,826.56x = 4,240.32 × 878.38
  4. Step 4: Simplify right side
    2,826.56x = 3,724,598.39
  5. Step 5: Solve for x
    x = 3,724,598.39/2,826.56
  6. Step 6: Final answer
    x = 1,317.71

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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.