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Finding the Fourth Proportional to 2,754.97, 3,800.59 and 1,759.75

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Solution

The fourth proportional to 2,754.97, 3,800.59 and 1,759.75 is: 2,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.97 : 3,800.59 = 1,759.75 : x
  2. Step 2: Convert to fraction form
    2,754.97/3,800.59 = 1,759.75/x
  3. Step 3: Cross multiply
    2,754.97x = 3,800.59 × 1,759.75
  4. Step 4: Simplify right side
    2,754.97x = 6,688,088.25
  5. Step 5: Solve for x
    x = 6,688,088.25/2,754.97
  6. Step 6: Final answer
    x = 2,427.64

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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.