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Finding the Fourth Proportional to 1,942, 2,680.68 and 1,243.92

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Solution

The fourth proportional to 1,942, 2,680.68 and 1,243.92 is: 1,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942 : 2,680.68 = 1,243.92 : x
  2. Step 2: Convert to fraction form
    1,942/2,680.68 = 1,243.92/x
  3. Step 3: Cross multiply
    1,942x = 2,680.68 × 1,243.92
  4. Step 4: Simplify right side
    1,942x = 3,334,551.47
  5. Step 5: Solve for x
    x = 3,334,551.47/1,942
  6. Step 6: Final answer
    x = 1,717.07

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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.