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Finding the Fourth Proportional to 3,191.33, 4,405.23 and 1,865.46

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Solution

The fourth proportional to 3,191.33, 4,405.23 and 1,865.46 is: 2,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.33 : 4,405.23 = 1,865.46 : x
  2. Step 2: Convert to fraction form
    3,191.33/4,405.23 = 1,865.46/x
  3. Step 3: Cross multiply
    3,191.33x = 4,405.23 × 1,865.46
  4. Step 4: Simplify right side
    3,191.33x = 8,217,771.03
  5. Step 5: Solve for x
    x = 8,217,771.03/3,191.33
  6. Step 6: Final answer
    x = 2,575.03

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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.