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Finding the Fourth Proportional to 2,104.73, 3,157.27 and 644.91

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Solution

The fourth proportional to 2,104.73, 3,157.27 and 644.91 is: 967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.73 : 3,157.27 = 644.91 : x
  2. Step 2: Convert to fraction form
    2,104.73/3,157.27 = 644.91/x
  3. Step 3: Cross multiply
    2,104.73x = 3,157.27 × 644.91
  4. Step 4: Simplify right side
    2,104.73x = 2,036,155.00
  5. Step 5: Solve for x
    x = 2,036,155.00/2,104.73
  6. Step 6: Final answer
    x = 967.42

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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.