Home / 2,478.28-3,419.67-1,546.78

Finding the Fourth Proportional to 2,478.28, 3,419.67 and 1,546.78

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Solution

The fourth proportional to 2,478.28, 3,419.67 and 1,546.78 is: 2,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.28 : 3,419.67 = 1,546.78 : x
  2. Step 2: Convert to fraction form
    2,478.28/3,419.67 = 1,546.78/x
  3. Step 3: Cross multiply
    2,478.28x = 3,419.67 × 1,546.78
  4. Step 4: Simplify right side
    2,478.28x = 5,289,477.16
  5. Step 5: Solve for x
    x = 5,289,477.16/2,478.28
  6. Step 6: Final answer
    x = 2,134.33

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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.