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Finding the Fourth Proportional to 2,000.03, 2,760.95 and 1,467.98

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Solution

The fourth proportional to 2,000.03, 2,760.95 and 1,467.98 is: 2,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.03 : 2,760.95 = 1,467.98 : x
  2. Step 2: Convert to fraction form
    2,000.03/2,760.95 = 1,467.98/x
  3. Step 3: Cross multiply
    2,000.03x = 2,760.95 × 1,467.98
  4. Step 4: Simplify right side
    2,000.03x = 4,053,019.38
  5. Step 5: Solve for x
    x = 4,053,019.38/2,000.03
  6. Step 6: Final answer
    x = 2,026.48

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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.