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Finding the Fourth Proportional to 2,000.50, 2,760.69 and 1,172.50

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Solution

The fourth proportional to 2,000.50, 2,760.69 and 1,172.50 is: 1,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.50 : 2,760.69 = 1,172.50 : x
  2. Step 2: Convert to fraction form
    2,000.50/2,760.69 = 1,172.50/x
  3. Step 3: Cross multiply
    2,000.50x = 2,760.69 × 1,172.50
  4. Step 4: Simplify right side
    2,000.50x = 3,236,909.03
  5. Step 5: Solve for x
    x = 3,236,909.03/2,000.50
  6. Step 6: Final answer
    x = 1,618.05

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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.