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Finding the Fourth Proportional to 2,230.30, 3,344.84 and 669.94

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Solution

The fourth proportional to 2,230.30, 3,344.84 and 669.94 is: 1,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.30 : 3,344.84 = 669.94 : x
  2. Step 2: Convert to fraction form
    2,230.30/3,344.84 = 669.94/x
  3. Step 3: Cross multiply
    2,230.30x = 3,344.84 × 669.94
  4. Step 4: Simplify right side
    2,230.30x = 2,240,842.11
  5. Step 5: Solve for x
    x = 2,240,842.11/2,230.30
  6. Step 6: Final answer
    x = 1,004.73

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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.