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Finding the Fourth Proportional to 1,819.69, 2,727.34 and 831.16

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Solution

The fourth proportional to 1,819.69, 2,727.34 and 831.16 is: 1,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.69 : 2,727.34 = 831.16 : x
  2. Step 2: Convert to fraction form
    1,819.69/2,727.34 = 831.16/x
  3. Step 3: Cross multiply
    1,819.69x = 2,727.34 × 831.16
  4. Step 4: Simplify right side
    1,819.69x = 2,266,855.91
  5. Step 5: Solve for x
    x = 2,266,855.91/1,819.69
  6. Step 6: Final answer
    x = 1,245.74

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Why These Related Problems?

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