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Finding the Fourth Proportional to 2,880.54, 3,974.64 and 1,701.98

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Solution

The fourth proportional to 2,880.54, 3,974.64 and 1,701.98 is: 2,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.54 : 3,974.64 = 1,701.98 : x
  2. Step 2: Convert to fraction form
    2,880.54/3,974.64 = 1,701.98/x
  3. Step 3: Cross multiply
    2,880.54x = 3,974.64 × 1,701.98
  4. Step 4: Simplify right side
    2,880.54x = 6,764,757.79
  5. Step 5: Solve for x
    x = 6,764,757.79/2,880.54
  6. Step 6: Final answer
    x = 2,348.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.