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Finding the Fourth Proportional to 3,285.90, 4,928.85 and 1,645.65

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Solution

The fourth proportional to 3,285.90, 4,928.85 and 1,645.65 is: 2,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.90 : 4,928.85 = 1,645.65 : x
  2. Step 2: Convert to fraction form
    3,285.90/4,928.85 = 1,645.65/x
  3. Step 3: Cross multiply
    3,285.90x = 4,928.85 × 1,645.65
  4. Step 4: Simplify right side
    3,285.90x = 8,111,162.00
  5. Step 5: Solve for x
    x = 8,111,162.00/3,285.90
  6. Step 6: Final answer
    x = 2,468.48

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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.