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Finding the Fourth Proportional to 2,642.29, 3,962.25 and 793.06

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Solution

The fourth proportional to 2,642.29, 3,962.25 and 793.06 is: 1,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.29 : 3,962.25 = 793.06 : x
  2. Step 2: Convert to fraction form
    2,642.29/3,962.25 = 793.06/x
  3. Step 3: Cross multiply
    2,642.29x = 3,962.25 × 793.06
  4. Step 4: Simplify right side
    2,642.29x = 3,142,292.08
  5. Step 5: Solve for x
    x = 3,142,292.08/2,642.29
  6. Step 6: Final answer
    x = 1,189.23

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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.