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Finding the Fourth Proportional to 4,530.80, 6,797.52 and 1,609.34

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Solution

The fourth proportional to 4,530.80, 6,797.52 and 1,609.34 is: 2,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.80 : 6,797.52 = 1,609.34 : x
  2. Step 2: Convert to fraction form
    4,530.80/6,797.52 = 1,609.34/x
  3. Step 3: Cross multiply
    4,530.80x = 6,797.52 × 1,609.34
  4. Step 4: Simplify right side
    4,530.80x = 10,939,486.85
  5. Step 5: Solve for x
    x = 10,939,486.85/4,530.80
  6. Step 6: Final answer
    x = 2,414.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.