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Finding the Fourth Proportional to 2,833.52, 3,909.18 and 2,089.26

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Solution

The fourth proportional to 2,833.52, 3,909.18 and 2,089.26 is: 2,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.52 : 3,909.18 = 2,089.26 : x
  2. Step 2: Convert to fraction form
    2,833.52/3,909.18 = 2,089.26/x
  3. Step 3: Cross multiply
    2,833.52x = 3,909.18 × 2,089.26
  4. Step 4: Simplify right side
    2,833.52x = 8,167,293.41
  5. Step 5: Solve for x
    x = 8,167,293.41/2,833.52
  6. Step 6: Final answer
    x = 2,882.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.