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Finding the Fourth Proportional to 3,179.90, 4,770.90 and 1,536.64

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Solution

The fourth proportional to 3,179.90, 4,770.90 and 1,536.64 is: 2,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.90 : 4,770.90 = 1,536.64 : x
  2. Step 2: Convert to fraction form
    3,179.90/4,770.90 = 1,536.64/x
  3. Step 3: Cross multiply
    3,179.90x = 4,770.90 × 1,536.64
  4. Step 4: Simplify right side
    3,179.90x = 7,331,155.78
  5. Step 5: Solve for x
    x = 7,331,155.78/3,179.90
  6. Step 6: Final answer
    x = 2,305.47

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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.