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Finding the Fourth Proportional to 2,104.68, 3,157.18 and 643.65

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Solution

The fourth proportional to 2,104.68, 3,157.18 and 643.65 is: 965.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.68 : 3,157.18 = 643.65 : x
  2. Step 2: Convert to fraction form
    2,104.68/3,157.18 = 643.65/x
  3. Step 3: Cross multiply
    2,104.68x = 3,157.18 × 643.65
  4. Step 4: Simplify right side
    2,104.68x = 2,032,105.46
  5. Step 5: Solve for x
    x = 2,032,105.46/2,104.68
  6. Step 6: Final answer
    x = 965.52

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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.