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Finding the Fourth Proportional to 2,106.88, 3,158.39 and 808.09

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Solution

The fourth proportional to 2,106.88, 3,158.39 and 808.09 is: 1,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.88 : 3,158.39 = 808.09 : x
  2. Step 2: Convert to fraction form
    2,106.88/3,158.39 = 808.09/x
  3. Step 3: Cross multiply
    2,106.88x = 3,158.39 × 808.09
  4. Step 4: Simplify right side
    2,106.88x = 2,552,259.33
  5. Step 5: Solve for x
    x = 2,552,259.33/2,106.88
  6. Step 6: Final answer
    x = 1,211.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.