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Finding the Fourth Proportional to 2,106.61, 2,906.89 and 1,162.45

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Solution

The fourth proportional to 2,106.61, 2,906.89 and 1,162.45 is: 1,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.61 : 2,906.89 = 1,162.45 : x
  2. Step 2: Convert to fraction form
    2,106.61/2,906.89 = 1,162.45/x
  3. Step 3: Cross multiply
    2,106.61x = 2,906.89 × 1,162.45
  4. Step 4: Simplify right side
    2,106.61x = 3,379,115.01
  5. Step 5: Solve for x
    x = 3,379,115.01/2,106.61
  6. Step 6: Final answer
    x = 1,604.06

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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.