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Finding the Fourth Proportional to 2,604.30, 3,906.45 and 1,680.90

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Solution

The fourth proportional to 2,604.30, 3,906.45 and 1,680.90 is: 2,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.30 : 3,906.45 = 1,680.90 : x
  2. Step 2: Convert to fraction form
    2,604.30/3,906.45 = 1,680.90/x
  3. Step 3: Cross multiply
    2,604.30x = 3,906.45 × 1,680.90
  4. Step 4: Simplify right side
    2,604.30x = 6,566,351.81
  5. Step 5: Solve for x
    x = 6,566,351.81/2,604.30
  6. Step 6: Final answer
    x = 2,521.35

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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.