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Finding the Fourth Proportional to 3,079.59, 4,249.78 and 1,682.34

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Solution

The fourth proportional to 3,079.59, 4,249.78 and 1,682.34 is: 2,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.59 : 4,249.78 = 1,682.34 : x
  2. Step 2: Convert to fraction form
    3,079.59/4,249.78 = 1,682.34/x
  3. Step 3: Cross multiply
    3,079.59x = 4,249.78 × 1,682.34
  4. Step 4: Simplify right side
    3,079.59x = 7,149,574.89
  5. Step 5: Solve for x
    x = 7,149,574.89/3,079.59
  6. Step 6: Final answer
    x = 2,321.60

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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.