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Finding the Fourth Proportional to 2,105.35, 2,905.64 and 1,209.37

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Solution

The fourth proportional to 2,105.35, 2,905.64 and 1,209.37 is: 1,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.35 : 2,905.64 = 1,209.37 : x
  2. Step 2: Convert to fraction form
    2,105.35/2,905.64 = 1,209.37/x
  3. Step 3: Cross multiply
    2,105.35x = 2,905.64 × 1,209.37
  4. Step 4: Simplify right side
    2,105.35x = 3,513,993.85
  5. Step 5: Solve for x
    x = 3,513,993.85/2,105.35
  6. Step 6: Final answer
    x = 1,669.08

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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.