Home / 2,546.40-3,819.60-1,007.40

Finding the Fourth Proportional to 2,546.40, 3,819.60 and 1,007.40

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Solution

The fourth proportional to 2,546.40, 3,819.60 and 1,007.40 is: 1,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.40 : 3,819.60 = 1,007.40 : x
  2. Step 2: Convert to fraction form
    2,546.40/3,819.60 = 1,007.40/x
  3. Step 3: Cross multiply
    2,546.40x = 3,819.60 × 1,007.40
  4. Step 4: Simplify right side
    2,546.40x = 3,847,865.04
  5. Step 5: Solve for x
    x = 3,847,865.04/2,546.40
  6. Step 6: Final answer
    x = 1,511.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.