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Finding the Fourth Proportional to 2,833.85, 3,909.62 and 2,089.60

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Solution

The fourth proportional to 2,833.85, 3,909.62 and 2,089.60 is: 2,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.85 : 3,909.62 = 2,089.60 : x
  2. Step 2: Convert to fraction form
    2,833.85/3,909.62 = 2,089.60/x
  3. Step 3: Cross multiply
    2,833.85x = 3,909.62 × 2,089.60
  4. Step 4: Simplify right side
    2,833.85x = 8,169,537.40
  5. Step 5: Solve for x
    x = 8,169,537.40/2,833.85
  6. Step 6: Final answer
    x = 2,882.84

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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.