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Finding the Fourth Proportional to 2,754.54, 3,799.44 and 1,705.50

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Solution

The fourth proportional to 2,754.54, 3,799.44 and 1,705.50 is: 2,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.54 : 3,799.44 = 1,705.50 : x
  2. Step 2: Convert to fraction form
    2,754.54/3,799.44 = 1,705.50/x
  3. Step 3: Cross multiply
    2,754.54x = 3,799.44 × 1,705.50
  4. Step 4: Simplify right side
    2,754.54x = 6,479,944.92
  5. Step 5: Solve for x
    x = 6,479,944.92/2,754.54
  6. Step 6: Final answer
    x = 2,352.46

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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.