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Finding the Fourth Proportional to 3,409.92, 4,707.65 and 2,233.04

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Solution

The fourth proportional to 3,409.92, 4,707.65 and 2,233.04 is: 3,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.92 : 4,707.65 = 2,233.04 : x
  2. Step 2: Convert to fraction form
    3,409.92/4,707.65 = 2,233.04/x
  3. Step 3: Cross multiply
    3,409.92x = 4,707.65 × 2,233.04
  4. Step 4: Simplify right side
    3,409.92x = 10,512,352.80
  5. Step 5: Solve for x
    x = 10,512,352.80/3,409.92
  6. Step 6: Final answer
    x = 3,082.87

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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.