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Finding the Fourth Proportional to 2,813.81, 3,880.91 and 2,152.85

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Solution

The fourth proportional to 2,813.81, 3,880.91 and 2,152.85 is: 2,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.81 : 3,880.91 = 2,152.85 : x
  2. Step 2: Convert to fraction form
    2,813.81/3,880.91 = 2,152.85/x
  3. Step 3: Cross multiply
    2,813.81x = 3,880.91 × 2,152.85
  4. Step 4: Simplify right side
    2,813.81x = 8,355,003.07
  5. Step 5: Solve for x
    x = 8,355,003.07/2,813.81
  6. Step 6: Final answer
    x = 2,969.29

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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.