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Finding the Fourth Proportional to 2,109.65, 3,164.48 and 1,383.82

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Solution

The fourth proportional to 2,109.65, 3,164.48 and 1,383.82 is: 2,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.65 : 3,164.48 = 1,383.82 : x
  2. Step 2: Convert to fraction form
    2,109.65/3,164.48 = 1,383.82/x
  3. Step 3: Cross multiply
    2,109.65x = 3,164.48 × 1,383.82
  4. Step 4: Simplify right side
    2,109.65x = 4,379,066.26
  5. Step 5: Solve for x
    x = 4,379,066.26/2,109.65
  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.