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Finding the Fourth Proportional to 2,665.48, 3,679.13 and 1,546.67

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Solution

The fourth proportional to 2,665.48, 3,679.13 and 1,546.67 is: 2,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.48 : 3,679.13 = 1,546.67 : x
  2. Step 2: Convert to fraction form
    2,665.48/3,679.13 = 1,546.67/x
  3. Step 3: Cross multiply
    2,665.48x = 3,679.13 × 1,546.67
  4. Step 4: Simplify right side
    2,665.48x = 5,690,400.00
  5. Step 5: Solve for x
    x = 5,690,400.00/2,665.48
  6. Step 6: Final answer
    x = 2,134.85

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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.