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Finding the Fourth Proportional to 2,106.74, 2,906.01 and 1,266.91

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Solution

The fourth proportional to 2,106.74, 2,906.01 and 1,266.91 is: 1,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.74 : 2,906.01 = 1,266.91 : x
  2. Step 2: Convert to fraction form
    2,106.74/2,906.01 = 1,266.91/x
  3. Step 3: Cross multiply
    2,106.74x = 2,906.01 × 1,266.91
  4. Step 4: Simplify right side
    2,106.74x = 3,681,645.86
  5. Step 5: Solve for x
    x = 3,681,645.86/2,106.74
  6. Step 6: Final answer
    x = 1,747.55

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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.