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Finding the Fourth Proportional to 3,205.95, 4,805.63 and 2,036.81

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Solution

The fourth proportional to 3,205.95, 4,805.63 and 2,036.81 is: 3,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.95 : 4,805.63 = 2,036.81 : x
  2. Step 2: Convert to fraction form
    3,205.95/4,805.63 = 2,036.81/x
  3. Step 3: Cross multiply
    3,205.95x = 4,805.63 × 2,036.81
  4. Step 4: Simplify right side
    3,205.95x = 9,788,121.03
  5. Step 5: Solve for x
    x = 9,788,121.03/3,205.95
  6. Step 6: Final answer
    x = 3,053.11

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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.