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Finding the Fourth Proportional to 2,381.73, 3,283.61 and 1,635.41

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Solution

The fourth proportional to 2,381.73, 3,283.61 and 1,635.41 is: 2,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.73 : 3,283.61 = 1,635.41 : x
  2. Step 2: Convert to fraction form
    2,381.73/3,283.61 = 1,635.41/x
  3. Step 3: Cross multiply
    2,381.73x = 3,283.61 × 1,635.41
  4. Step 4: Simplify right side
    2,381.73x = 5,370,024.04
  5. Step 5: Solve for x
    x = 5,370,024.04/2,381.73
  6. Step 6: Final answer
    x = 2,254.67

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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.