Home / 2,080.56-3,117.36-2,004

Finding the Fourth Proportional to 2,080.56, 3,117.36 and 2,004

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Solution

The fourth proportional to 2,080.56, 3,117.36 and 2,004 is: 3,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.56 : 3,117.36 = 2,004 : x
  2. Step 2: Convert to fraction form
    2,080.56/3,117.36 = 2,004/x
  3. Step 3: Cross multiply
    2,080.56x = 3,117.36 × 2,004
  4. Step 4: Simplify right side
    2,080.56x = 6,247,189.44
  5. Step 5: Solve for x
    x = 6,247,189.44/2,080.56
  6. Step 6: Final answer
    x = 3,002.65

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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.