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Finding the Fourth Proportional to 1,542.23, 2,128.11 and 878.94

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Solution

The fourth proportional to 1,542.23, 2,128.11 and 878.94 is: 1,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.23 : 2,128.11 = 878.94 : x
  2. Step 2: Convert to fraction form
    1,542.23/2,128.11 = 878.94/x
  3. Step 3: Cross multiply
    1,542.23x = 2,128.11 × 878.94
  4. Step 4: Simplify right side
    1,542.23x = 1,870,481.00
  5. Step 5: Solve for x
    x = 1,870,481.00/1,542.23
  6. Step 6: Final answer
    x = 1,212.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.