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Finding the Fourth Proportional to 3,218.45, 4,822.49 and 1,365.27

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Solution

The fourth proportional to 3,218.45, 4,822.49 and 1,365.27 is: 2,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.45 : 4,822.49 = 1,365.27 : x
  2. Step 2: Convert to fraction form
    3,218.45/4,822.49 = 1,365.27/x
  3. Step 3: Cross multiply
    3,218.45x = 4,822.49 × 1,365.27
  4. Step 4: Simplify right side
    3,218.45x = 6,583,994.10
  5. Step 5: Solve for x
    x = 6,583,994.10/3,218.45
  6. Step 6: Final answer
    x = 2,045.71

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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.