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Finding the Fourth Proportional to 3,014.49, 4,520.99 and 823.23

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Solution

The fourth proportional to 3,014.49, 4,520.99 and 823.23 is: 1,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.49 : 4,520.99 = 823.23 : x
  2. Step 2: Convert to fraction form
    3,014.49/4,520.99 = 823.23/x
  3. Step 3: Cross multiply
    3,014.49x = 4,520.99 × 823.23
  4. Step 4: Simplify right side
    3,014.49x = 3,721,810.48
  5. Step 5: Solve for x
    x = 3,721,810.48/3,014.49
  6. Step 6: Final answer
    x = 1,234.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.