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Finding the Fourth Proportional to 2,145.12, 3,217.71 and 758.43

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Solution

The fourth proportional to 2,145.12, 3,217.71 and 758.43 is: 1,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.12 : 3,217.71 = 758.43 : x
  2. Step 2: Convert to fraction form
    2,145.12/3,217.71 = 758.43/x
  3. Step 3: Cross multiply
    2,145.12x = 3,217.71 × 758.43
  4. Step 4: Simplify right side
    2,145.12x = 2,440,407.80
  5. Step 5: Solve for x
    x = 2,440,407.80/2,145.12
  6. Step 6: Final answer
    x = 1,137.66

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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.