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Finding the Fourth Proportional to 2,764.71, 3,814.63 and 1,927.17

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Solution

The fourth proportional to 2,764.71, 3,814.63 and 1,927.17 is: 2,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.71 : 3,814.63 = 1,927.17 : x
  2. Step 2: Convert to fraction form
    2,764.71/3,814.63 = 1,927.17/x
  3. Step 3: Cross multiply
    2,764.71x = 3,814.63 × 1,927.17
  4. Step 4: Simplify right side
    2,764.71x = 7,351,435.68
  5. Step 5: Solve for x
    x = 7,351,435.68/2,764.71
  6. Step 6: Final answer
    x = 2,659.03

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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.