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Finding the Fourth Proportional to 1,546.20, 2,133.39 and 882.69

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Solution

The fourth proportional to 1,546.20, 2,133.39 and 882.69 is: 1,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.20 : 2,133.39 = 882.69 : x
  2. Step 2: Convert to fraction form
    1,546.20/2,133.39 = 882.69/x
  3. Step 3: Cross multiply
    1,546.20x = 2,133.39 × 882.69
  4. Step 4: Simplify right side
    1,546.20x = 1,883,122.02
  5. Step 5: Solve for x
    x = 1,883,122.02/1,546.20
  6. Step 6: Final answer
    x = 1,217.90

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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.