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Finding the Fourth Proportional to 2,352.27, 3,529.34 and 891.81

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Solution

The fourth proportional to 2,352.27, 3,529.34 and 891.81 is: 1,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.27 : 3,529.34 = 891.81 : x
  2. Step 2: Convert to fraction form
    2,352.27/3,529.34 = 891.81/x
  3. Step 3: Cross multiply
    2,352.27x = 3,529.34 × 891.81
  4. Step 4: Simplify right side
    2,352.27x = 3,147,496.25
  5. Step 5: Solve for x
    x = 3,147,496.25/2,352.27
  6. Step 6: Final answer
    x = 1,338.07

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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.