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Finding the Fourth Proportional to 2,104.74, 3,157.44 and 643.77

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Solution

The fourth proportional to 2,104.74, 3,157.44 and 643.77 is: 965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.74 : 3,157.44 = 643.77 : x
  2. Step 2: Convert to fraction form
    2,104.74/3,157.44 = 643.77/x
  3. Step 3: Cross multiply
    2,104.74x = 3,157.44 × 643.77
  4. Step 4: Simplify right side
    2,104.74x = 2,032,665.15
  5. Step 5: Solve for x
    x = 2,032,665.15/2,104.74
  6. Step 6: Final answer
    x = 965.76

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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.