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Finding the Fourth Proportional to 3,014.23, 4,520.61 and 822.97

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Solution

The fourth proportional to 3,014.23, 4,520.61 and 822.97 is: 1,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.23 : 4,520.61 = 822.97 : x
  2. Step 2: Convert to fraction form
    3,014.23/4,520.61 = 822.97/x
  3. Step 3: Cross multiply
    3,014.23x = 4,520.61 × 822.97
  4. Step 4: Simplify right side
    3,014.23x = 3,720,303.81
  5. Step 5: Solve for x
    x = 3,720,303.81/3,014.23
  6. Step 6: Final answer
    x = 1,234.25

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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.