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Finding the Fourth Proportional to 2,657.90, 3,986.70 and 808.97

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Solution

The fourth proportional to 2,657.90, 3,986.70 and 808.97 is: 1,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.90 : 3,986.70 = 808.97 : x
  2. Step 2: Convert to fraction form
    2,657.90/3,986.70 = 808.97/x
  3. Step 3: Cross multiply
    2,657.90x = 3,986.70 × 808.97
  4. Step 4: Simplify right side
    2,657.90x = 3,225,120.70
  5. Step 5: Solve for x
    x = 3,225,120.70/2,657.90
  6. Step 6: Final answer
    x = 1,213.41

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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.