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Finding the Fourth Proportional to 2,290.60, 3,435.90 and 828.73

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Solution

The fourth proportional to 2,290.60, 3,435.90 and 828.73 is: 1,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.60 : 3,435.90 = 828.73 : x
  2. Step 2: Convert to fraction form
    2,290.60/3,435.90 = 828.73/x
  3. Step 3: Cross multiply
    2,290.60x = 3,435.90 × 828.73
  4. Step 4: Simplify right side
    2,290.60x = 2,847,433.41
  5. Step 5: Solve for x
    x = 2,847,433.41/2,290.60
  6. Step 6: Final answer
    x = 1,243.10

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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.