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Finding the Fourth Proportional to 1,825.81, 2,520.82 and 1,405.42

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Solution

The fourth proportional to 1,825.81, 2,520.82 and 1,405.42 is: 1,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.81 : 2,520.82 = 1,405.42 : x
  2. Step 2: Convert to fraction form
    1,825.81/2,520.82 = 1,405.42/x
  3. Step 3: Cross multiply
    1,825.81x = 2,520.82 × 1,405.42
  4. Step 4: Simplify right side
    1,825.81x = 3,542,806.30
  5. Step 5: Solve for x
    x = 3,542,806.30/1,825.81
  6. Step 6: Final answer
    x = 1,940.41

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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.