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Finding the Fourth Proportional to 3,014.29, 4,521.30 and 823.02

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Solution

The fourth proportional to 3,014.29, 4,521.30 and 823.02 is: 1,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.29 : 4,521.30 = 823.02 : x
  2. Step 2: Convert to fraction form
    3,014.29/4,521.30 = 823.02/x
  3. Step 3: Cross multiply
    3,014.29x = 4,521.30 × 823.02
  4. Step 4: Simplify right side
    3,014.29x = 3,721,120.33
  5. Step 5: Solve for x
    x = 3,721,120.33/3,014.29
  6. Step 6: Final answer
    x = 1,234.49

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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.