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Finding the Fourth Proportional to 2,106.42, 2,906.71 and 1,266.96

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Solution

The fourth proportional to 2,106.42, 2,906.71 and 1,266.96 is: 1,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.42 : 2,906.71 = 1,266.96 : x
  2. Step 2: Convert to fraction form
    2,106.42/2,906.71 = 1,266.96/x
  3. Step 3: Cross multiply
    2,106.42x = 2,906.71 × 1,266.96
  4. Step 4: Simplify right side
    2,106.42x = 3,682,685.30
  5. Step 5: Solve for x
    x = 3,682,685.30/2,106.42
  6. Step 6: Final answer
    x = 1,748.31

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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.