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Finding the Fourth Proportional to 2,104.36, 3,157.08 and 643.66

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Solution

The fourth proportional to 2,104.36, 3,157.08 and 643.66 is: 965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.36 : 3,157.08 = 643.66 : x
  2. Step 2: Convert to fraction form
    2,104.36/3,157.08 = 643.66/x
  3. Step 3: Cross multiply
    2,104.36x = 3,157.08 × 643.66
  4. Step 4: Simplify right side
    2,104.36x = 2,032,086.11
  5. Step 5: Solve for x
    x = 2,032,086.11/2,104.36
  6. Step 6: Final answer
    x = 965.66

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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.