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Finding the Fourth Proportional to 3,290.45, 4,935.94 and 1,645.47

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Solution

The fourth proportional to 3,290.45, 4,935.94 and 1,645.47 is: 2,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.45 : 4,935.94 = 1,645.47 : x
  2. Step 2: Convert to fraction form
    3,290.45/4,935.94 = 1,645.47/x
  3. Step 3: Cross multiply
    3,290.45x = 4,935.94 × 1,645.47
  4. Step 4: Simplify right side
    3,290.45x = 8,121,937.08
  5. Step 5: Solve for x
    x = 8,121,937.08/3,290.45
  6. Step 6: Final answer
    x = 2,468.34

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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.