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Finding the Fourth Proportional to 2,405.81, 3,605.96 and 1,090.56

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Solution

The fourth proportional to 2,405.81, 3,605.96 and 1,090.56 is: 1,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.81 : 3,605.96 = 1,090.56 : x
  2. Step 2: Convert to fraction form
    2,405.81/3,605.96 = 1,090.56/x
  3. Step 3: Cross multiply
    2,405.81x = 3,605.96 × 1,090.56
  4. Step 4: Simplify right side
    2,405.81x = 3,932,510.28
  5. Step 5: Solve for x
    x = 3,932,510.28/2,405.81
  6. Step 6: Final answer
    x = 1,634.59

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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.