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Finding the Fourth Proportional to 2,145.82, 3,218.72 and 758.82

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Solution

The fourth proportional to 2,145.82, 3,218.72 and 758.82 is: 1,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.82 : 3,218.72 = 758.82 : x
  2. Step 2: Convert to fraction form
    2,145.82/3,218.72 = 758.82/x
  3. Step 3: Cross multiply
    2,145.82x = 3,218.72 × 758.82
  4. Step 4: Simplify right side
    2,145.82x = 2,442,429.11
  5. Step 5: Solve for x
    x = 2,442,429.11/2,145.82
  6. Step 6: Final answer
    x = 1,138.23

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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.