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Finding the Fourth Proportional to 2,880.14, 3,975.22 and 1,883.78

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Solution

The fourth proportional to 2,880.14, 3,975.22 and 1,883.78 is: 2,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.14 : 3,975.22 = 1,883.78 : x
  2. Step 2: Convert to fraction form
    2,880.14/3,975.22 = 1,883.78/x
  3. Step 3: Cross multiply
    2,880.14x = 3,975.22 × 1,883.78
  4. Step 4: Simplify right side
    2,880.14x = 7,488,439.93
  5. Step 5: Solve for x
    x = 7,488,439.93/2,880.14
  6. Step 6: Final answer
    x = 2,600.03

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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.