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Finding the Fourth Proportional to 3,200.80, 4,420.50 and 2,604.84

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Solution

The fourth proportional to 3,200.80, 4,420.50 and 2,604.84 is: 3,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.80 : 4,420.50 = 2,604.84 : x
  2. Step 2: Convert to fraction form
    3,200.80/4,420.50 = 2,604.84/x
  3. Step 3: Cross multiply
    3,200.80x = 4,420.50 × 2,604.84
  4. Step 4: Simplify right side
    3,200.80x = 11,514,695.22
  5. Step 5: Solve for x
    x = 11,514,695.22/3,200.80
  6. Step 6: Final answer
    x = 3,597.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.