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Finding the Fourth Proportional to 2,351.80, 3,527.91 and 965.23

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Solution

The fourth proportional to 2,351.80, 3,527.91 and 965.23 is: 1,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.80 : 3,527.91 = 965.23 : x
  2. Step 2: Convert to fraction form
    2,351.80/3,527.91 = 965.23/x
  3. Step 3: Cross multiply
    2,351.80x = 3,527.91 × 965.23
  4. Step 4: Simplify right side
    2,351.80x = 3,405,244.57
  5. Step 5: Solve for x
    x = 3,405,244.57/2,351.80
  6. Step 6: Final answer
    x = 1,447.93

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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.