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Finding the Fourth Proportional to 1,644.83, 2,269.92 and 946.21

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Solution

The fourth proportional to 1,644.83, 2,269.92 and 946.21 is: 1,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.83 : 2,269.92 = 946.21 : x
  2. Step 2: Convert to fraction form
    1,644.83/2,269.92 = 946.21/x
  3. Step 3: Cross multiply
    1,644.83x = 2,269.92 × 946.21
  4. Step 4: Simplify right side
    1,644.83x = 2,147,804.92
  5. Step 5: Solve for x
    x = 2,147,804.92/1,644.83
  6. Step 6: Final answer
    x = 1,305.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.