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Finding the Fourth Proportional to 3,409.00, 4,704.66 and 1,896.64

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Solution

The fourth proportional to 3,409.00, 4,704.66 and 1,896.64 is: 2,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.00 : 4,704.66 = 1,896.64 : x
  2. Step 2: Convert to fraction form
    3,409.00/4,704.66 = 1,896.64/x
  3. Step 3: Cross multiply
    3,409.00x = 4,704.66 × 1,896.64
  4. Step 4: Simplify right side
    3,409.00x = 8,923,034.58
  5. Step 5: Solve for x
    x = 8,923,034.58/3,409.00
  6. Step 6: Final answer
    x = 2,617.50

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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.