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Finding the Fourth Proportional to 2,732.80, 3,771.12 and 1,684.48

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Solution

The fourth proportional to 2,732.80, 3,771.12 and 1,684.48 is: 2,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.80 : 3,771.12 = 1,684.48 : x
  2. Step 2: Convert to fraction form
    2,732.80/3,771.12 = 1,684.48/x
  3. Step 3: Cross multiply
    2,732.80x = 3,771.12 × 1,684.48
  4. Step 4: Simplify right side
    2,732.80x = 6,352,376.22
  5. Step 5: Solve for x
    x = 6,352,376.22/2,732.80
  6. Step 6: Final answer
    x = 2,324.49

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1.5x scale

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.