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Finding the Fourth Proportional to 2,909.69, 4,361.97 and 1,155.93

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Solution

The fourth proportional to 2,909.69, 4,361.97 and 1,155.93 is: 1,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.69 : 4,361.97 = 1,155.93 : x
  2. Step 2: Convert to fraction form
    2,909.69/4,361.97 = 1,155.93/x
  3. Step 3: Cross multiply
    2,909.69x = 4,361.97 × 1,155.93
  4. Step 4: Simplify right side
    2,909.69x = 5,042,131.98
  5. Step 5: Solve for x
    x = 5,042,131.98/2,909.69
  6. Step 6: Final answer
    x = 1,732.88

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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.