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Finding the Fourth Proportional to 2,736.25, 4,104.38 and 684.25

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Solution

The fourth proportional to 2,736.25, 4,104.38 and 684.25 is: 1,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.25 : 4,104.38 = 684.25 : x
  2. Step 2: Convert to fraction form
    2,736.25/4,104.38 = 684.25/x
  3. Step 3: Cross multiply
    2,736.25x = 4,104.38 × 684.25
  4. Step 4: Simplify right side
    2,736.25x = 2,808,422.02
  5. Step 5: Solve for x
    x = 2,808,422.02/2,736.25
  6. Step 6: Final answer
    x = 1,026.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.