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Finding the Fourth Proportional to 1,821, 2,727.88 and 845.76

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Solution

The fourth proportional to 1,821, 2,727.88 and 845.76 is: 1,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821 : 2,727.88 = 845.76 : x
  2. Step 2: Convert to fraction form
    1,821/2,727.88 = 845.76/x
  3. Step 3: Cross multiply
    1,821x = 2,727.88 × 845.76
  4. Step 4: Simplify right side
    1,821x = 2,307,131.79
  5. Step 5: Solve for x
    x = 2,307,131.79/1,821
  6. Step 6: Final answer
    x = 1,266.96

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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.