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Finding the Fourth Proportional to 1,969.38, 2,717.82 and 1,471.14

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Solution

The fourth proportional to 1,969.38, 2,717.82 and 1,471.14 is: 2,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.38 : 2,717.82 = 1,471.14 : x
  2. Step 2: Convert to fraction form
    1,969.38/2,717.82 = 1,471.14/x
  3. Step 3: Cross multiply
    1,969.38x = 2,717.82 × 1,471.14
  4. Step 4: Simplify right side
    1,969.38x = 3,998,293.71
  5. Step 5: Solve for x
    x = 3,998,293.71/1,969.38
  6. Step 6: Final answer
    x = 2,030.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.