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Finding the Fourth Proportional to 1,968.66, 2,951.10 and 735.75

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Solution

The fourth proportional to 1,968.66, 2,951.10 and 735.75 is: 1,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.66 : 2,951.10 = 735.75 : x
  2. Step 2: Convert to fraction form
    1,968.66/2,951.10 = 735.75/x
  3. Step 3: Cross multiply
    1,968.66x = 2,951.10 × 735.75
  4. Step 4: Simplify right side
    1,968.66x = 2,171,271.83
  5. Step 5: Solve for x
    x = 2,171,271.83/1,968.66
  6. Step 6: Final answer
    x = 1,102.92

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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.