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Finding the Fourth Proportional to 2,747.72, 3,795.16 and 2,000.50

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Solution

The fourth proportional to 2,747.72, 3,795.16 and 2,000.50 is: 2,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.72 : 3,795.16 = 2,000.50 : x
  2. Step 2: Convert to fraction form
    2,747.72/3,795.16 = 2,000.50/x
  3. Step 3: Cross multiply
    2,747.72x = 3,795.16 × 2,000.50
  4. Step 4: Simplify right side
    2,747.72x = 7,592,217.58
  5. Step 5: Solve for x
    x = 7,592,217.58/2,747.72
  6. Step 6: Final answer
    x = 2,763.10

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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.