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Finding the Fourth Proportional to 2,106.39, 2,906.79 and 1,174.89

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Solution

The fourth proportional to 2,106.39, 2,906.79 and 1,174.89 is: 1,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.39 : 2,906.79 = 1,174.89 : x
  2. Step 2: Convert to fraction form
    2,106.39/2,906.79 = 1,174.89/x
  3. Step 3: Cross multiply
    2,106.39x = 2,906.79 × 1,174.89
  4. Step 4: Simplify right side
    2,106.39x = 3,415,158.50
  5. Step 5: Solve for x
    x = 3,415,158.50/2,106.39
  6. Step 6: Final answer
    x = 1,621.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.