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Finding the Fourth Proportional to 1,744.36, 2,615.45 and 819.52

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Solution

The fourth proportional to 1,744.36, 2,615.45 and 819.52 is: 1,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.36 : 2,615.45 = 819.52 : x
  2. Step 2: Convert to fraction form
    1,744.36/2,615.45 = 819.52/x
  3. Step 3: Cross multiply
    1,744.36x = 2,615.45 × 819.52
  4. Step 4: Simplify right side
    1,744.36x = 2,143,396.41
  5. Step 5: Solve for x
    x = 2,143,396.41/1,744.36
  6. Step 6: Final answer
    x = 1,228.76

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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.