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Finding the Fourth Proportional to 2,769.94, 4,154.91 and 2,700.23

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Solution

The fourth proportional to 2,769.94, 4,154.91 and 2,700.23 is: 4,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.94 : 4,154.91 = 2,700.23 : x
  2. Step 2: Convert to fraction form
    2,769.94/4,154.91 = 2,700.23/x
  3. Step 3: Cross multiply
    2,769.94x = 4,154.91 × 2,700.23
  4. Step 4: Simplify right side
    2,769.94x = 11,219,191.85
  5. Step 5: Solve for x
    x = 11,219,191.85/2,769.94
  6. Step 6: Final answer
    x = 4,050.34

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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.