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Finding the Fourth Proportional to 3,079.34, 4,249.46 and 1,682.08

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Solution

The fourth proportional to 3,079.34, 4,249.46 and 1,682.08 is: 2,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.34 : 4,249.46 = 1,682.08 : x
  2. Step 2: Convert to fraction form
    3,079.34/4,249.46 = 1,682.08/x
  3. Step 3: Cross multiply
    3,079.34x = 4,249.46 × 1,682.08
  4. Step 4: Simplify right side
    3,079.34x = 7,147,931.68
  5. Step 5: Solve for x
    x = 7,147,931.68/3,079.34
  6. Step 6: Final answer
    x = 2,321.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.