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Finding the Fourth Proportional to 2,000.69, 2,760.34 and 1,255.39

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Solution

The fourth proportional to 2,000.69, 2,760.34 and 1,255.39 is: 1,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.69 : 2,760.34 = 1,255.39 : x
  2. Step 2: Convert to fraction form
    2,000.69/2,760.34 = 1,255.39/x
  3. Step 3: Cross multiply
    2,000.69x = 2,760.34 × 1,255.39
  4. Step 4: Simplify right side
    2,000.69x = 3,465,303.23
  5. Step 5: Solve for x
    x = 3,465,303.23/2,000.69
  6. Step 6: Final answer
    x = 1,732.05

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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.