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Finding the Fourth Proportional to 1,546.48, 2,324.74 and 1,241.67

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Solution

The fourth proportional to 1,546.48, 2,324.74 and 1,241.67 is: 1,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.48 : 2,324.74 = 1,241.67 : x
  2. Step 2: Convert to fraction form
    1,546.48/2,324.74 = 1,241.67/x
  3. Step 3: Cross multiply
    1,546.48x = 2,324.74 × 1,241.67
  4. Step 4: Simplify right side
    1,546.48x = 2,886,559.92
  5. Step 5: Solve for x
    x = 2,886,559.92/1,546.48
  6. Step 6: Final answer
    x = 1,866.54

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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.