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Finding the Fourth Proportional to 1,967.81, 2,951.62 and 735.12

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Solution

The fourth proportional to 1,967.81, 2,951.62 and 735.12 is: 1,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.81 : 2,951.62 = 735.12 : x
  2. Step 2: Convert to fraction form
    1,967.81/2,951.62 = 735.12/x
  3. Step 3: Cross multiply
    1,967.81x = 2,951.62 × 735.12
  4. Step 4: Simplify right side
    1,967.81x = 2,169,791.22
  5. Step 5: Solve for x
    x = 2,169,791.22/1,967.81
  6. Step 6: Final answer
    x = 1,102.65

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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.