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Finding the Fourth Proportional to 3,106.58, 4,286.79 and 1,830.42

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Solution

The fourth proportional to 3,106.58, 4,286.79 and 1,830.42 is: 2,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.58 : 4,286.79 = 1,830.42 : x
  2. Step 2: Convert to fraction form
    3,106.58/4,286.79 = 1,830.42/x
  3. Step 3: Cross multiply
    3,106.58x = 4,286.79 × 1,830.42
  4. Step 4: Simplify right side
    3,106.58x = 7,846,626.15
  5. Step 5: Solve for x
    x = 7,846,626.15/3,106.58
  6. Step 6: Final answer
    x = 2,525.81

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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.