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Finding the Fourth Proportional to 2,039.46, 3,052.71 and 1,391.46

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Solution

The fourth proportional to 2,039.46, 3,052.71 and 1,391.46 is: 2,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.46 : 3,052.71 = 1,391.46 : x
  2. Step 2: Convert to fraction form
    2,039.46/3,052.71 = 1,391.46/x
  3. Step 3: Cross multiply
    2,039.46x = 3,052.71 × 1,391.46
  4. Step 4: Simplify right side
    2,039.46x = 4,247,723.86
  5. Step 5: Solve for x
    x = 4,247,723.86/2,039.46
  6. Step 6: Final answer
    x = 2,082.77

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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.