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Finding the Fourth Proportional to 2,880.94, 3,977.62 and 2,216.62

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Solution

The fourth proportional to 2,880.94, 3,977.62 and 2,216.62 is: 3,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.94 : 3,977.62 = 2,216.62 : x
  2. Step 2: Convert to fraction form
    2,880.94/3,977.62 = 2,216.62/x
  3. Step 3: Cross multiply
    2,880.94x = 3,977.62 × 2,216.62
  4. Step 4: Simplify right side
    2,880.94x = 8,816,872.04
  5. Step 5: Solve for x
    x = 8,816,872.04/2,880.94
  6. Step 6: Final answer
    x = 3,060.42

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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.