Home / 2,053.46-2,819.44-2,000

Finding the Fourth Proportional to 2,053.46, 2,819.44 and 2,000

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Solution

The fourth proportional to 2,053.46, 2,819.44 and 2,000 is: 2,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.46 : 2,819.44 = 2,000 : x
  2. Step 2: Convert to fraction form
    2,053.46/2,819.44 = 2,000/x
  3. Step 3: Cross multiply
    2,053.46x = 2,819.44 × 2,000
  4. Step 4: Simplify right side
    2,053.46x = 5,638,880
  5. Step 5: Solve for x
    x = 5,638,880/2,053.46
  6. Step 6: Final answer
    x = 2,746.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.