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Finding the Fourth Proportional to 2,109.63, 3,164.49 and 1,383.81

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Solution

The fourth proportional to 2,109.63, 3,164.49 and 1,383.81 is: 2,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.63 : 3,164.49 = 1,383.81 : x
  2. Step 2: Convert to fraction form
    2,109.63/3,164.49 = 1,383.81/x
  3. Step 3: Cross multiply
    2,109.63x = 3,164.49 × 1,383.81
  4. Step 4: Simplify right side
    2,109.63x = 4,379,052.91
  5. Step 5: Solve for x
    x = 4,379,052.91/2,109.63
  6. Step 6: Final answer
    x = 2,075.74

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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.