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Finding the Fourth Proportional to 3,218.24, 4,828.34 and 1,369.31

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Solution

The fourth proportional to 3,218.24, 4,828.34 and 1,369.31 is: 2,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.24 : 4,828.34 = 1,369.31 : x
  2. Step 2: Convert to fraction form
    3,218.24/4,828.34 = 1,369.31/x
  3. Step 3: Cross multiply
    3,218.24x = 4,828.34 × 1,369.31
  4. Step 4: Simplify right side
    3,218.24x = 6,611,463.26
  5. Step 5: Solve for x
    x = 6,611,463.26/3,218.24
  6. Step 6: Final answer
    x = 2,054.38

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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.