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Finding the Fourth Proportional to 2,106.36, 2,906.10 and 1,174.68

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Solution

The fourth proportional to 2,106.36, 2,906.10 and 1,174.68 is: 1,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.36 : 2,906.10 = 1,174.68 : x
  2. Step 2: Convert to fraction form
    2,106.36/2,906.10 = 1,174.68/x
  3. Step 3: Cross multiply
    2,106.36x = 2,906.10 × 1,174.68
  4. Step 4: Simplify right side
    2,106.36x = 3,413,737.55
  5. Step 5: Solve for x
    x = 3,413,737.55/2,106.36
  6. Step 6: Final answer
    x = 1,620.68

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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.