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Finding the Fourth Proportional to 2,764.80, 4,147.20 and 2,655.45

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Solution

The fourth proportional to 2,764.80, 4,147.20 and 2,655.45 is: 3,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.80 : 4,147.20 = 2,655.45 : x
  2. Step 2: Convert to fraction form
    2,764.80/4,147.20 = 2,655.45/x
  3. Step 3: Cross multiply
    2,764.80x = 4,147.20 × 2,655.45
  4. Step 4: Simplify right side
    2,764.80x = 11,012,682.24
  5. Step 5: Solve for x
    x = 11,012,682.24/2,764.80
  6. Step 6: Final answer
    x = 3,983.18

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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.