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Finding the Fourth Proportional to 3,158.21, 4,734.27 and 1,770.14

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Solution

The fourth proportional to 3,158.21, 4,734.27 and 1,770.14 is: 2,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.21 : 4,734.27 = 1,770.14 : x
  2. Step 2: Convert to fraction form
    3,158.21/4,734.27 = 1,770.14/x
  3. Step 3: Cross multiply
    3,158.21x = 4,734.27 × 1,770.14
  4. Step 4: Simplify right side
    3,158.21x = 8,380,297.03
  5. Step 5: Solve for x
    x = 8,380,297.03/3,158.21
  6. Step 6: Final answer
    x = 2,653.50

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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.