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Finding the Fourth Proportional to 2,106.39, 2,906.73 and 1,209.86

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Solution

The fourth proportional to 2,106.39, 2,906.73 and 1,209.86 is: 1,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.39 : 2,906.73 = 1,209.86 : x
  2. Step 2: Convert to fraction form
    2,106.39/2,906.73 = 1,209.86/x
  3. Step 3: Cross multiply
    2,106.39x = 2,906.73 × 1,209.86
  4. Step 4: Simplify right side
    2,106.39x = 3,516,721.82
  5. Step 5: Solve for x
    x = 3,516,721.82/2,106.39
  6. Step 6: Final answer
    x = 1,669.55

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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.