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Finding the Fourth Proportional to 1,541.86, 2,127.77 and 843.23

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Solution

The fourth proportional to 1,541.86, 2,127.77 and 843.23 is: 1,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.86 : 2,127.77 = 843.23 : x
  2. Step 2: Convert to fraction form
    1,541.86/2,127.77 = 843.23/x
  3. Step 3: Cross multiply
    1,541.86x = 2,127.77 × 843.23
  4. Step 4: Simplify right side
    1,541.86x = 1,794,206.92
  5. Step 5: Solve for x
    x = 1,794,206.92/1,541.86
  6. Step 6: Final answer
    x = 1,163.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.