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Finding the Fourth Proportional to 2,766.04, 3,812.80 and 1,880.31

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Solution

The fourth proportional to 2,766.04, 3,812.80 and 1,880.31 is: 2,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.04 : 3,812.80 = 1,880.31 : x
  2. Step 2: Convert to fraction form
    2,766.04/3,812.80 = 1,880.31/x
  3. Step 3: Cross multiply
    2,766.04x = 3,812.80 × 1,880.31
  4. Step 4: Simplify right side
    2,766.04x = 7,169,245.97
  5. Step 5: Solve for x
    x = 7,169,245.97/2,766.04
  6. Step 6: Final answer
    x = 2,591.88

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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.