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Finding the Fourth Proportional to 3,105.58, 4,285.56 and 1,926.76

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Solution

The fourth proportional to 3,105.58, 4,285.56 and 1,926.76 is: 2,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.58 : 4,285.56 = 1,926.76 : x
  2. Step 2: Convert to fraction form
    3,105.58/4,285.56 = 1,926.76/x
  3. Step 3: Cross multiply
    3,105.58x = 4,285.56 × 1,926.76
  4. Step 4: Simplify right side
    3,105.58x = 8,257,245.59
  5. Step 5: Solve for x
    x = 8,257,245.59/3,105.58
  6. Step 6: Final answer
    x = 2,658.84

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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.