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Finding the Fourth Proportional to 2,645.93, 3,968.90 and 797.03

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Solution

The fourth proportional to 2,645.93, 3,968.90 and 797.03 is: 1,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.93 : 3,968.90 = 797.03 : x
  2. Step 2: Convert to fraction form
    2,645.93/3,968.90 = 797.03/x
  3. Step 3: Cross multiply
    2,645.93x = 3,968.90 × 797.03
  4. Step 4: Simplify right side
    2,645.93x = 3,163,328.38
  5. Step 5: Solve for x
    x = 3,163,328.38/2,645.93
  6. Step 6: Final answer
    x = 1,195.55

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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.