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Finding the Fourth Proportional to 3,014.46, 4,521.11 and 822.63

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Solution

The fourth proportional to 3,014.46, 4,521.11 and 822.63 is: 1,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.46 : 4,521.11 = 822.63 : x
  2. Step 2: Convert to fraction form
    3,014.46/4,521.11 = 822.63/x
  3. Step 3: Cross multiply
    3,014.46x = 4,521.11 × 822.63
  4. Step 4: Simplify right side
    3,014.46x = 3,719,196.61
  5. Step 5: Solve for x
    x = 3,719,196.61/3,014.46
  6. Step 6: Final answer
    x = 1,233.79

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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.