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Finding the Fourth Proportional to 2,048.25, 3,073.59 and 878.22

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Solution

The fourth proportional to 2,048.25, 3,073.59 and 878.22 is: 1,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.25 : 3,073.59 = 878.22 : x
  2. Step 2: Convert to fraction form
    2,048.25/3,073.59 = 878.22/x
  3. Step 3: Cross multiply
    2,048.25x = 3,073.59 × 878.22
  4. Step 4: Simplify right side
    2,048.25x = 2,699,288.21
  5. Step 5: Solve for x
    x = 2,699,288.21/2,048.25
  6. Step 6: Final answer
    x = 1,317.85

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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.