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Finding the Fourth Proportional to 2,821.80, 3,894.30 and 1,626.98

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Solution

The fourth proportional to 2,821.80, 3,894.30 and 1,626.98 is: 2,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.80 : 3,894.30 = 1,626.98 : x
  2. Step 2: Convert to fraction form
    2,821.80/3,894.30 = 1,626.98/x
  3. Step 3: Cross multiply
    2,821.80x = 3,894.30 × 1,626.98
  4. Step 4: Simplify right side
    2,821.80x = 6,335,948.21
  5. Step 5: Solve for x
    x = 6,335,948.21/2,821.80
  6. Step 6: Final answer
    x = 2,245.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.