Home / 2,976.32-4,461.24-2,000

Finding the Fourth Proportional to 2,976.32, 4,461.24 and 2,000

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Solution

The fourth proportional to 2,976.32, 4,461.24 and 2,000 is: 2,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.32 : 4,461.24 = 2,000 : x
  2. Step 2: Convert to fraction form
    2,976.32/4,461.24 = 2,000/x
  3. Step 3: Cross multiply
    2,976.32x = 4,461.24 × 2,000
  4. Step 4: Simplify right side
    2,976.32x = 8,922,480
  5. Step 5: Solve for x
    x = 8,922,480/2,976.32
  6. Step 6: Final answer
    x = 2,997.82

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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.