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Finding the Fourth Proportional to 4,116.69, 6,170.61 and 1,777.80

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Solution

The fourth proportional to 4,116.69, 6,170.61 and 1,777.80 is: 2,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.69 : 6,170.61 = 1,777.80 : x
  2. Step 2: Convert to fraction form
    4,116.69/6,170.61 = 1,777.80/x
  3. Step 3: Cross multiply
    4,116.69x = 6,170.61 × 1,777.80
  4. Step 4: Simplify right side
    4,116.69x = 10,970,110.46
  5. Step 5: Solve for x
    x = 10,970,110.46/4,116.69
  6. Step 6: Final answer
    x = 2,664.79

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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.