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Finding the Fourth Proportional to 2,143.34, 3,214.77 and 756.42

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Solution

The fourth proportional to 2,143.34, 3,214.77 and 756.42 is: 1,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.34 : 3,214.77 = 756.42 : x
  2. Step 2: Convert to fraction form
    2,143.34/3,214.77 = 756.42/x
  3. Step 3: Cross multiply
    2,143.34x = 3,214.77 × 756.42
  4. Step 4: Simplify right side
    2,143.34x = 2,431,716.32
  5. Step 5: Solve for x
    x = 2,431,716.32/2,143.34
  6. Step 6: Final answer
    x = 1,134.55

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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.