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Finding the Fourth Proportional to 2,000.72, 3,006.50 and 1,076.95

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Solution

The fourth proportional to 2,000.72, 3,006.50 and 1,076.95 is: 1,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.72 : 3,006.50 = 1,076.95 : x
  2. Step 2: Convert to fraction form
    2,000.72/3,006.50 = 1,076.95/x
  3. Step 3: Cross multiply
    2,000.72x = 3,006.50 × 1,076.95
  4. Step 4: Simplify right side
    2,000.72x = 3,237,837.69
  5. Step 5: Solve for x
    x = 3,237,837.69/2,000.72
  6. Step 6: Final answer
    x = 1,618.34

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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.