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Finding the Fourth Proportional to 2,482.67, 3,726.44 and 1,185.05

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Solution

The fourth proportional to 2,482.67, 3,726.44 and 1,185.05 is: 1,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.67 : 3,726.44 = 1,185.05 : x
  2. Step 2: Convert to fraction form
    2,482.67/3,726.44 = 1,185.05/x
  3. Step 3: Cross multiply
    2,482.67x = 3,726.44 × 1,185.05
  4. Step 4: Simplify right side
    2,482.67x = 4,415,993.16
  5. Step 5: Solve for x
    x = 4,415,993.16/2,482.67
  6. Step 6: Final answer
    x = 1,778.73

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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.