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Finding the Fourth Proportional to 1,819.40, 2,721.80 and 1,382

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Solution

The fourth proportional to 1,819.40, 2,721.80 and 1,382 is: 2,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.40 : 2,721.80 = 1,382 : x
  2. Step 2: Convert to fraction form
    1,819.40/2,721.80 = 1,382/x
  3. Step 3: Cross multiply
    1,819.40x = 2,721.80 × 1,382
  4. Step 4: Simplify right side
    1,819.40x = 3,761,527.60
  5. Step 5: Solve for x
    x = 3,761,527.60/1,819.40
  6. Step 6: Final answer
    x = 2,067.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.