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Finding the Fourth Proportional to 3,291.67, 4,544.13 and 2,234.98

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Solution

The fourth proportional to 3,291.67, 4,544.13 and 2,234.98 is: 3,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.67 : 4,544.13 = 2,234.98 : x
  2. Step 2: Convert to fraction form
    3,291.67/4,544.13 = 2,234.98/x
  3. Step 3: Cross multiply
    3,291.67x = 4,544.13 × 2,234.98
  4. Step 4: Simplify right side
    3,291.67x = 10,156,039.67
  5. Step 5: Solve for x
    x = 10,156,039.67/3,291.67
  6. Step 6: Final answer
    x = 3,085.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.