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Finding the Fourth Proportional to 3,222.98, 4,834.62 and 1,031.54

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Solution

The fourth proportional to 3,222.98, 4,834.62 and 1,031.54 is: 1,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.98 : 4,834.62 = 1,031.54 : x
  2. Step 2: Convert to fraction form
    3,222.98/4,834.62 = 1,031.54/x
  3. Step 3: Cross multiply
    3,222.98x = 4,834.62 × 1,031.54
  4. Step 4: Simplify right side
    3,222.98x = 4,987,103.91
  5. Step 5: Solve for x
    x = 4,987,103.91/3,222.98
  6. Step 6: Final answer
    x = 1,547.36

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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.