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Finding the Fourth Proportional to 3,245.90, 4,868.64 and 1,270.98

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Solution

The fourth proportional to 3,245.90, 4,868.64 and 1,270.98 is: 1,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.90 : 4,868.64 = 1,270.98 : x
  2. Step 2: Convert to fraction form
    3,245.90/4,868.64 = 1,270.98/x
  3. Step 3: Cross multiply
    3,245.90x = 4,868.64 × 1,270.98
  4. Step 4: Simplify right side
    3,245.90x = 6,187,944.07
  5. Step 5: Solve for x
    x = 6,187,944.07/3,245.90
  6. Step 6: Final answer
    x = 1,906.39

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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.