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Finding the Fourth Proportional to 2,143.72, 3,215.78 and 756.90

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Solution

The fourth proportional to 2,143.72, 3,215.78 and 756.90 is: 1,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.72 : 3,215.78 = 756.90 : x
  2. Step 2: Convert to fraction form
    2,143.72/3,215.78 = 756.90/x
  3. Step 3: Cross multiply
    2,143.72x = 3,215.78 × 756.90
  4. Step 4: Simplify right side
    2,143.72x = 2,434,023.88
  5. Step 5: Solve for x
    x = 2,434,023.88/2,143.72
  6. Step 6: Final answer
    x = 1,135.42

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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.