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Finding the Fourth Proportional to 2,764.08, 4,142.02 and 2,180.50

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Solution

The fourth proportional to 2,764.08, 4,142.02 and 2,180.50 is: 3,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.08 : 4,142.02 = 2,180.50 : x
  2. Step 2: Convert to fraction form
    2,764.08/4,142.02 = 2,180.50/x
  3. Step 3: Cross multiply
    2,764.08x = 4,142.02 × 2,180.50
  4. Step 4: Simplify right side
    2,764.08x = 9,031,674.61
  5. Step 5: Solve for x
    x = 9,031,674.61/2,764.08
  6. Step 6: Final answer
    x = 3,267.52

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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.