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Finding the Fourth Proportional to 1,969.43, 2,718.29 and 1,298.14

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Solution

The fourth proportional to 1,969.43, 2,718.29 and 1,298.14 is: 1,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.43 : 2,718.29 = 1,298.14 : x
  2. Step 2: Convert to fraction form
    1,969.43/2,718.29 = 1,298.14/x
  3. Step 3: Cross multiply
    1,969.43x = 2,718.29 × 1,298.14
  4. Step 4: Simplify right side
    1,969.43x = 3,528,717.43
  5. Step 5: Solve for x
    x = 3,528,717.43/1,969.43
  6. Step 6: Final answer
    x = 1,791.75

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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.