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Finding the Fourth Proportional to 2,833.49, 3,909.12 and 2,089.22

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Solution

The fourth proportional to 2,833.49, 3,909.12 and 2,089.22 is: 2,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.49 : 3,909.12 = 2,089.22 : x
  2. Step 2: Convert to fraction form
    2,833.49/3,909.12 = 2,089.22/x
  3. Step 3: Cross multiply
    2,833.49x = 3,909.12 × 2,089.22
  4. Step 4: Simplify right side
    2,833.49x = 8,166,992.14
  5. Step 5: Solve for x
    x = 8,166,992.14/2,833.49
  6. Step 6: Final answer
    x = 2,882.31

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1.5x scale

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.