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Finding the Fourth Proportional to 3,205.90, 4,809.36 and 1,645.06

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Solution

The fourth proportional to 3,205.90, 4,809.36 and 1,645.06 is: 2,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.90 : 4,809.36 = 1,645.06 : x
  2. Step 2: Convert to fraction form
    3,205.90/4,809.36 = 1,645.06/x
  3. Step 3: Cross multiply
    3,205.90x = 4,809.36 × 1,645.06
  4. Step 4: Simplify right side
    3,205.90x = 7,911,685.76
  5. Step 5: Solve for x
    x = 7,911,685.76/3,205.90
  6. Step 6: Final answer
    x = 2,467.85

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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.