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Finding the Fourth Proportional to 3,485.33, 4,809.65 and 2,049.67

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Solution

The fourth proportional to 3,485.33, 4,809.65 and 2,049.67 is: 2,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.33 : 4,809.65 = 2,049.67 : x
  2. Step 2: Convert to fraction form
    3,485.33/4,809.65 = 2,049.67/x
  3. Step 3: Cross multiply
    3,485.33x = 4,809.65 × 2,049.67
  4. Step 4: Simplify right side
    3,485.33x = 9,858,191.08
  5. Step 5: Solve for x
    x = 9,858,191.08/3,485.33
  6. Step 6: Final answer
    x = 2,828.48

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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.