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Finding the Fourth Proportional to 2,000.39, 2,760.41 and 1,116.02

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Solution

The fourth proportional to 2,000.39, 2,760.41 and 1,116.02 is: 1,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.39 : 2,760.41 = 1,116.02 : x
  2. Step 2: Convert to fraction form
    2,000.39/2,760.41 = 1,116.02/x
  3. Step 3: Cross multiply
    2,000.39x = 2,760.41 × 1,116.02
  4. Step 4: Simplify right side
    2,000.39x = 3,080,653.39
  5. Step 5: Solve for x
    x = 3,080,653.39/2,000.39
  6. Step 6: Final answer
    x = 1,540.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.