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Finding the Fourth Proportional to 2,361.69, 3,523.50 and 2,185.29

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Solution

The fourth proportional to 2,361.69, 3,523.50 and 2,185.29 is: 3,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.69 : 3,523.50 = 2,185.29 : x
  2. Step 2: Convert to fraction form
    2,361.69/3,523.50 = 2,185.29/x
  3. Step 3: Cross multiply
    2,361.69x = 3,523.50 × 2,185.29
  4. Step 4: Simplify right side
    2,361.69x = 7,699,869.32
  5. Step 5: Solve for x
    x = 7,699,869.32/2,361.69
  6. Step 6: Final answer
    x = 3,260.32

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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.