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Finding the Fourth Proportional to 3,179.40, 4,770.14 and 1,536.14

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Solution

The fourth proportional to 3,179.40, 4,770.14 and 1,536.14 is: 2,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.40 : 4,770.14 = 1,536.14 : x
  2. Step 2: Convert to fraction form
    3,179.40/4,770.14 = 1,536.14/x
  3. Step 3: Cross multiply
    3,179.40x = 4,770.14 × 1,536.14
  4. Step 4: Simplify right side
    3,179.40x = 7,327,602.86
  5. Step 5: Solve for x
    x = 7,327,602.86/3,179.40
  6. Step 6: Final answer
    x = 2,304.71

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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.