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Finding the Fourth Proportional to 3,378.16, 5,069.42 and 1,645.84

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Solution

The fourth proportional to 3,378.16, 5,069.42 and 1,645.84 is: 2,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.16 : 5,069.42 = 1,645.84 : x
  2. Step 2: Convert to fraction form
    3,378.16/5,069.42 = 1,645.84/x
  3. Step 3: Cross multiply
    3,378.16x = 5,069.42 × 1,645.84
  4. Step 4: Simplify right side
    3,378.16x = 8,343,454.21
  5. Step 5: Solve for x
    x = 8,343,454.21/3,378.16
  6. Step 6: Final answer
    x = 2,469.82

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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.