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Finding the Fourth Proportional to 2,827.80, 4,231.08 and 2,008.08

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Solution

The fourth proportional to 2,827.80, 4,231.08 and 2,008.08 is: 3,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.80 : 4,231.08 = 2,008.08 : x
  2. Step 2: Convert to fraction form
    2,827.80/4,231.08 = 2,008.08/x
  3. Step 3: Cross multiply
    2,827.80x = 4,231.08 × 2,008.08
  4. Step 4: Simplify right side
    2,827.80x = 8,496,347.13
  5. Step 5: Solve for x
    x = 8,496,347.13/2,827.80
  6. Step 6: Final answer
    x = 3,004.58

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1.5x scale

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.