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Finding the Fourth Proportional to 3,102.68, 4,651.58 and 1,153.82

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Solution

The fourth proportional to 3,102.68, 4,651.58 and 1,153.82 is: 1,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.68 : 4,651.58 = 1,153.82 : x
  2. Step 2: Convert to fraction form
    3,102.68/4,651.58 = 1,153.82/x
  3. Step 3: Cross multiply
    3,102.68x = 4,651.58 × 1,153.82
  4. Step 4: Simplify right side
    3,102.68x = 5,367,086.04
  5. Step 5: Solve for x
    x = 5,367,086.04/3,102.68
  6. Step 6: Final answer
    x = 1,729.82

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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.