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Finding the Fourth Proportional to 3,157.14, 4,735.68 and 1,694.28

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Solution

The fourth proportional to 3,157.14, 4,735.68 and 1,694.28 is: 2,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.14 : 4,735.68 = 1,694.28 : x
  2. Step 2: Convert to fraction form
    3,157.14/4,735.68 = 1,694.28/x
  3. Step 3: Cross multiply
    3,157.14x = 4,735.68 × 1,694.28
  4. Step 4: Simplify right side
    3,157.14x = 8,023,567.91
  5. Step 5: Solve for x
    x = 8,023,567.91/3,157.14
  6. Step 6: Final answer
    x = 2,541.40

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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.