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Finding the Fourth Proportional to 1,819.32, 2,729.38 and 723.66

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Solution

The fourth proportional to 1,819.32, 2,729.38 and 723.66 is: 1,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.32 : 2,729.38 = 723.66 : x
  2. Step 2: Convert to fraction form
    1,819.32/2,729.38 = 723.66/x
  3. Step 3: Cross multiply
    1,819.32x = 2,729.38 × 723.66
  4. Step 4: Simplify right side
    1,819.32x = 1,975,143.13
  5. Step 5: Solve for x
    x = 1,975,143.13/1,819.32
  6. Step 6: Final answer
    x = 1,085.65

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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.