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Finding the Fourth Proportional to 1,729.93, 2,387.31 and 943.99

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Solution

The fourth proportional to 1,729.93, 2,387.31 and 943.99 is: 1,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.93 : 2,387.31 = 943.99 : x
  2. Step 2: Convert to fraction form
    1,729.93/2,387.31 = 943.99/x
  3. Step 3: Cross multiply
    1,729.93x = 2,387.31 × 943.99
  4. Step 4: Simplify right side
    1,729.93x = 2,253,596.77
  5. Step 5: Solve for x
    x = 2,253,596.77/1,729.93
  6. Step 6: Final answer
    x = 1,302.71

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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.