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Finding the Fourth Proportional to 1,819.36, 2,729.48 and 723.76

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Solution

The fourth proportional to 1,819.36, 2,729.48 and 723.76 is: 1,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.36 : 2,729.48 = 723.76 : x
  2. Step 2: Convert to fraction form
    1,819.36/2,729.48 = 723.76/x
  3. Step 3: Cross multiply
    1,819.36x = 2,729.48 × 723.76
  4. Step 4: Simplify right side
    1,819.36x = 1,975,488.44
  5. Step 5: Solve for x
    x = 1,975,488.44/1,819.36
  6. Step 6: Final answer
    x = 1,085.82

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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.