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Finding the Fourth Proportional to 3,014.05, 4,521.08 and 822.84

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Solution

The fourth proportional to 3,014.05, 4,521.08 and 822.84 is: 1,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.05 : 4,521.08 = 822.84 : x
  2. Step 2: Convert to fraction form
    3,014.05/4,521.08 = 822.84/x
  3. Step 3: Cross multiply
    3,014.05x = 4,521.08 × 822.84
  4. Step 4: Simplify right side
    3,014.05x = 3,720,136.00
  5. Step 5: Solve for x
    x = 3,720,136.00/3,014.05
  6. Step 6: Final answer
    x = 1,234.26

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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.