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Finding the Fourth Proportional to 2,406.96, 3,589.56 and 2,173.68

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Solution

The fourth proportional to 2,406.96, 3,589.56 and 2,173.68 is: 3,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.96 : 3,589.56 = 2,173.68 : x
  2. Step 2: Convert to fraction form
    2,406.96/3,589.56 = 2,173.68/x
  3. Step 3: Cross multiply
    2,406.96x = 3,589.56 × 2,173.68
  4. Step 4: Simplify right side
    2,406.96x = 7,802,554.78
  5. Step 5: Solve for x
    x = 7,802,554.78/2,406.96
  6. Step 6: Final answer
    x = 3,241.66

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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.