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Finding the Fourth Proportional to 2,054.82, 3,079.39 and 1,780.23

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Solution

The fourth proportional to 2,054.82, 3,079.39 and 1,780.23 is: 2,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.82 : 3,079.39 = 1,780.23 : x
  2. Step 2: Convert to fraction form
    2,054.82/3,079.39 = 1,780.23/x
  3. Step 3: Cross multiply
    2,054.82x = 3,079.39 × 1,780.23
  4. Step 4: Simplify right side
    2,054.82x = 5,482,022.46
  5. Step 5: Solve for x
    x = 5,482,022.46/2,054.82
  6. Step 6: Final answer
    x = 2,667.88

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