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Finding the Fourth Proportional to 2,106.82, 3,160.14 and 808.21

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Solution

The fourth proportional to 2,106.82, 3,160.14 and 808.21 is: 1,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.82 : 3,160.14 = 808.21 : x
  2. Step 2: Convert to fraction form
    2,106.82/3,160.14 = 808.21/x
  3. Step 3: Cross multiply
    2,106.82x = 3,160.14 × 808.21
  4. Step 4: Simplify right side
    2,106.82x = 2,554,056.75
  5. Step 5: Solve for x
    x = 2,554,056.75/2,106.82
  6. Step 6: Final answer
    x = 1,212.28

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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.