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Finding the Fourth Proportional to 2,384.53, 3,289.85 and 1,546.33

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Solution

The fourth proportional to 2,384.53, 3,289.85 and 1,546.33 is: 2,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.53 : 3,289.85 = 1,546.33 : x
  2. Step 2: Convert to fraction form
    2,384.53/3,289.85 = 1,546.33/x
  3. Step 3: Cross multiply
    2,384.53x = 3,289.85 × 1,546.33
  4. Step 4: Simplify right side
    2,384.53x = 5,087,193.75
  5. Step 5: Solve for x
    x = 5,087,193.75/2,384.53
  6. Step 6: Final answer
    x = 2,133.42

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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.