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Finding the Fourth Proportional to 3,223.67, 4,833.15 and 1,031.14

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Solution

The fourth proportional to 3,223.67, 4,833.15 and 1,031.14 is: 1,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.67 : 4,833.15 = 1,031.14 : x
  2. Step 2: Convert to fraction form
    3,223.67/4,833.15 = 1,031.14/x
  3. Step 3: Cross multiply
    3,223.67x = 4,833.15 × 1,031.14
  4. Step 4: Simplify right side
    3,223.67x = 4,983,654.29
  5. Step 5: Solve for x
    x = 4,983,654.29/3,223.67
  6. Step 6: Final answer
    x = 1,545.96

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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.