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Finding the Fourth Proportional to 2,161.77, 3,243.18 and 928.56

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Solution

The fourth proportional to 2,161.77, 3,243.18 and 928.56 is: 1,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.77 : 3,243.18 = 928.56 : x
  2. Step 2: Convert to fraction form
    2,161.77/3,243.18 = 928.56/x
  3. Step 3: Cross multiply
    2,161.77x = 3,243.18 × 928.56
  4. Step 4: Simplify right side
    2,161.77x = 3,011,487.22
  5. Step 5: Solve for x
    x = 3,011,487.22/2,161.77
  6. Step 6: Final answer
    x = 1,393.07

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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.