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Finding the Fourth Proportional to 3,157.10, 4,737.01 and 1,694.54

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Solution

The fourth proportional to 3,157.10, 4,737.01 and 1,694.54 is: 2,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.10 : 4,737.01 = 1,694.54 : x
  2. Step 2: Convert to fraction form
    3,157.10/4,737.01 = 1,694.54/x
  3. Step 3: Cross multiply
    3,157.10x = 4,737.01 × 1,694.54
  4. Step 4: Simplify right side
    3,157.10x = 8,027,071.12
  5. Step 5: Solve for x
    x = 8,027,071.12/3,157.10
  6. Step 6: Final answer
    x = 2,542.55

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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.