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Finding the Fourth Proportional to 2,182.41, 3,268.15 and 1,449.77

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Solution

The fourth proportional to 2,182.41, 3,268.15 and 1,449.77 is: 2,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.41 : 3,268.15 = 1,449.77 : x
  2. Step 2: Convert to fraction form
    2,182.41/3,268.15 = 1,449.77/x
  3. Step 3: Cross multiply
    2,182.41x = 3,268.15 × 1,449.77
  4. Step 4: Simplify right side
    2,182.41x = 4,738,045.86
  5. Step 5: Solve for x
    x = 4,738,045.86/2,182.41
  6. Step 6: Final answer
    x = 2,171.02

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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.