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Finding the Fourth Proportional to 2,165.68, 3,249 and 1,191.28

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Solution

The fourth proportional to 2,165.68, 3,249 and 1,191.28 is: 1,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.68 : 3,249 = 1,191.28 : x
  2. Step 2: Convert to fraction form
    2,165.68/3,249 = 1,191.28/x
  3. Step 3: Cross multiply
    2,165.68x = 3,249 × 1,191.28
  4. Step 4: Simplify right side
    2,165.68x = 3,870,468.72
  5. Step 5: Solve for x
    x = 3,870,468.72/2,165.68
  6. Step 6: Final answer
    x = 1,787.18

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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.