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Finding the Fourth Proportional to 2,914, 4,367.82 and 1,434.24

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Solution

The fourth proportional to 2,914, 4,367.82 and 1,434.24 is: 2,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914 : 4,367.82 = 1,434.24 : x
  2. Step 2: Convert to fraction form
    2,914/4,367.82 = 1,434.24/x
  3. Step 3: Cross multiply
    2,914x = 4,367.82 × 1,434.24
  4. Step 4: Simplify right side
    2,914x = 6,264,502.16
  5. Step 5: Solve for x
    x = 6,264,502.16/2,914
  6. Step 6: Final answer
    x = 2,149.79

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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.