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Finding the Fourth Proportional to 1,713.89, 2,365.17 and 927.94

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Solution

The fourth proportional to 1,713.89, 2,365.17 and 927.94 is: 1,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.89 : 2,365.17 = 927.94 : x
  2. Step 2: Convert to fraction form
    1,713.89/2,365.17 = 927.94/x
  3. Step 3: Cross multiply
    1,713.89x = 2,365.17 × 927.94
  4. Step 4: Simplify right side
    1,713.89x = 2,194,735.85
  5. Step 5: Solve for x
    x = 2,194,735.85/1,713.89
  6. Step 6: Final answer
    x = 1,280.56

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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.