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Finding the Fourth Proportional to 2,826.53, 4,239.48 and 878.58

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Solution

The fourth proportional to 2,826.53, 4,239.48 and 878.58 is: 1,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.53 : 4,239.48 = 878.58 : x
  2. Step 2: Convert to fraction form
    2,826.53/4,239.48 = 878.58/x
  3. Step 3: Cross multiply
    2,826.53x = 4,239.48 × 878.58
  4. Step 4: Simplify right side
    2,826.53x = 3,724,722.34
  5. Step 5: Solve for x
    x = 3,724,722.34/2,826.53
  6. Step 6: Final answer
    x = 1,317.77

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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.