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Finding the Fourth Proportional to 3,033.70, 4,185.74 and 2,326.26

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Solution

The fourth proportional to 3,033.70, 4,185.74 and 2,326.26 is: 3,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.70 : 4,185.74 = 2,326.26 : x
  2. Step 2: Convert to fraction form
    3,033.70/4,185.74 = 2,326.26/x
  3. Step 3: Cross multiply
    3,033.70x = 4,185.74 × 2,326.26
  4. Step 4: Simplify right side
    3,033.70x = 9,737,141.04
  5. Step 5: Solve for x
    x = 9,737,141.04/3,033.70
  6. Step 6: Final answer
    x = 3,209.66

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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.