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Finding the Fourth Proportional to 2,645.53, 3,968.60 and 697.88

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Solution

The fourth proportional to 2,645.53, 3,968.60 and 697.88 is: 1,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.53 : 3,968.60 = 697.88 : x
  2. Step 2: Convert to fraction form
    2,645.53/3,968.60 = 697.88/x
  3. Step 3: Cross multiply
    2,645.53x = 3,968.60 × 697.88
  4. Step 4: Simplify right side
    2,645.53x = 2,769,613.00
  5. Step 5: Solve for x
    x = 2,769,613.00/2,645.53
  6. Step 6: Final answer
    x = 1,046.90

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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.