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Finding the Fourth Proportional to 3,014.04, 4,520.88 and 822.84

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Solution

The fourth proportional to 3,014.04, 4,520.88 and 822.84 is: 1,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.04 : 4,520.88 = 822.84 : x
  2. Step 2: Convert to fraction form
    3,014.04/4,520.88 = 822.84/x
  3. Step 3: Cross multiply
    3,014.04x = 4,520.88 × 822.84
  4. Step 4: Simplify right side
    3,014.04x = 3,719,960.90
  5. Step 5: Solve for x
    x = 3,719,960.90/3,014.04
  6. Step 6: Final answer
    x = 1,234.21

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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.