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Finding the Fourth Proportional to 3,302.36, 4,950.81 and 1,546.46

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Solution

The fourth proportional to 3,302.36, 4,950.81 and 1,546.46 is: 2,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.36 : 4,950.81 = 1,546.46 : x
  2. Step 2: Convert to fraction form
    3,302.36/4,950.81 = 1,546.46/x
  3. Step 3: Cross multiply
    3,302.36x = 4,950.81 × 1,546.46
  4. Step 4: Simplify right side
    3,302.36x = 7,656,229.63
  5. Step 5: Solve for x
    x = 7,656,229.63/3,302.36
  6. Step 6: Final answer
    x = 2,318.41

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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.