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Finding the Fourth Proportional to 3,223.23, 4,835.27 and 1,031.19

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Solution

The fourth proportional to 3,223.23, 4,835.27 and 1,031.19 is: 1,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.23 : 4,835.27 = 1,031.19 : x
  2. Step 2: Convert to fraction form
    3,223.23/4,835.27 = 1,031.19/x
  3. Step 3: Cross multiply
    3,223.23x = 4,835.27 × 1,031.19
  4. Step 4: Simplify right side
    3,223.23x = 4,986,076.92
  5. Step 5: Solve for x
    x = 4,986,076.92/3,223.23
  6. Step 6: Final answer
    x = 1,546.92

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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.