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Finding the Fourth Proportional to 4,662.75, 6,993.05 and 1,330.94

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Solution

The fourth proportional to 4,662.75, 6,993.05 and 1,330.94 is: 1,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.75 : 6,993.05 = 1,330.94 : x
  2. Step 2: Convert to fraction form
    4,662.75/6,993.05 = 1,330.94/x
  3. Step 3: Cross multiply
    4,662.75x = 6,993.05 × 1,330.94
  4. Step 4: Simplify right side
    4,662.75x = 9,307,295.00
  5. Step 5: Solve for x
    x = 9,307,295.00/4,662.75
  6. Step 6: Final answer
    x = 1,996.10

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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.