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Finding the Fourth Proportional to 1,635.85, 2,443.37 and 1,405.41

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Solution

The fourth proportional to 1,635.85, 2,443.37 and 1,405.41 is: 2,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.85 : 2,443.37 = 1,405.41 : x
  2. Step 2: Convert to fraction form
    1,635.85/2,443.37 = 1,405.41/x
  3. Step 3: Cross multiply
    1,635.85x = 2,443.37 × 1,405.41
  4. Step 4: Simplify right side
    1,635.85x = 3,433,936.63
  5. Step 5: Solve for x
    x = 3,433,936.63/1,635.85
  6. Step 6: Final answer
    x = 2,099.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.