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Finding the Fourth Proportional to 2,313.28, 3,470.43 and 669.89

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Solution

The fourth proportional to 2,313.28, 3,470.43 and 669.89 is: 1,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.28 : 3,470.43 = 669.89 : x
  2. Step 2: Convert to fraction form
    2,313.28/3,470.43 = 669.89/x
  3. Step 3: Cross multiply
    2,313.28x = 3,470.43 × 669.89
  4. Step 4: Simplify right side
    2,313.28x = 2,324,806.35
  5. Step 5: Solve for x
    x = 2,324,806.35/2,313.28
  6. Step 6: Final answer
    x = 1,004.98

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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.