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Finding the Fourth Proportional to 1,968.18, 2,952.27 and 766.68

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Solution

The fourth proportional to 1,968.18, 2,952.27 and 766.68 is: 1,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.18 : 2,952.27 = 766.68 : x
  2. Step 2: Convert to fraction form
    1,968.18/2,952.27 = 766.68/x
  3. Step 3: Cross multiply
    1,968.18x = 2,952.27 × 766.68
  4. Step 4: Simplify right side
    1,968.18x = 2,263,446.36
  5. Step 5: Solve for x
    x = 2,263,446.36/1,968.18
  6. Step 6: Final answer
    x = 1,150.02

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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.