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Finding the Fourth Proportional to 2,754.36, 3,799.08 and 2,584.44

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Solution

The fourth proportional to 2,754.36, 3,799.08 and 2,584.44 is: 3,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.36 : 3,799.08 = 2,584.44 : x
  2. Step 2: Convert to fraction form
    2,754.36/3,799.08 = 2,584.44/x
  3. Step 3: Cross multiply
    2,754.36x = 3,799.08 × 2,584.44
  4. Step 4: Simplify right side
    2,754.36x = 9,818,494.32
  5. Step 5: Solve for x
    x = 9,818,494.32/2,754.36
  6. Step 6: Final answer
    x = 3,564.71

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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.