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Finding the Fourth Proportional to 2,909.07, 4,361.64 and 1,059.96

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Solution

The fourth proportional to 2,909.07, 4,361.64 and 1,059.96 is: 1,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.07 : 4,361.64 = 1,059.96 : x
  2. Step 2: Convert to fraction form
    2,909.07/4,361.64 = 1,059.96/x
  3. Step 3: Cross multiply
    2,909.07x = 4,361.64 × 1,059.96
  4. Step 4: Simplify right side
    2,909.07x = 4,623,163.93
  5. Step 5: Solve for x
    x = 4,623,163.93/2,909.07
  6. Step 6: Final answer
    x = 1,589.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.