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Finding the Fourth Proportional to 1,644.57, 2,269.31 and 1,086.21

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Solution

The fourth proportional to 1,644.57, 2,269.31 and 1,086.21 is: 1,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.57 : 2,269.31 = 1,086.21 : x
  2. Step 2: Convert to fraction form
    1,644.57/2,269.31 = 1,086.21/x
  3. Step 3: Cross multiply
    1,644.57x = 2,269.31 × 1,086.21
  4. Step 4: Simplify right side
    1,644.57x = 2,464,941.78
  5. Step 5: Solve for x
    x = 2,464,941.78/1,644.57
  6. Step 6: Final answer
    x = 1,498.84

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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.