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Finding the Fourth Proportional to 2,289.30, 3,433.12 and 828.06

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Solution

The fourth proportional to 2,289.30, 3,433.12 and 828.06 is: 1,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.30 : 3,433.12 = 828.06 : x
  2. Step 2: Convert to fraction form
    2,289.30/3,433.12 = 828.06/x
  3. Step 3: Cross multiply
    2,289.30x = 3,433.12 × 828.06
  4. Step 4: Simplify right side
    2,289.30x = 2,842,829.35
  5. Step 5: Solve for x
    x = 2,842,829.35/2,289.30
  6. Step 6: Final answer
    x = 1,241.79

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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.