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Finding the Fourth Proportional to 3,205.27, 4,810.91 and 1,975.09

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Solution

The fourth proportional to 3,205.27, 4,810.91 and 1,975.09 is: 2,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.27 : 4,810.91 = 1,975.09 : x
  2. Step 2: Convert to fraction form
    3,205.27/4,810.91 = 1,975.09/x
  3. Step 3: Cross multiply
    3,205.27x = 4,810.91 × 1,975.09
  4. Step 4: Simplify right side
    3,205.27x = 9,501,980.23
  5. Step 5: Solve for x
    x = 9,501,980.23/3,205.27
  6. Step 6: Final answer
    x = 2,964.49

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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.