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Finding the Fourth Proportional to 2,642.32, 3,962.30 and 793.09

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Solution

The fourth proportional to 2,642.32, 3,962.30 and 793.09 is: 1,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.32 : 3,962.30 = 793.09 : x
  2. Step 2: Convert to fraction form
    2,642.32/3,962.30 = 793.09/x
  3. Step 3: Cross multiply
    2,642.32x = 3,962.30 × 793.09
  4. Step 4: Simplify right side
    2,642.32x = 3,142,460.51
  5. Step 5: Solve for x
    x = 3,142,460.51/2,642.32
  6. Step 6: Final answer
    x = 1,189.28

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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.