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Finding the Fourth Proportional to 2,008.36, 2,771.85 and 1,169.07

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Solution

The fourth proportional to 2,008.36, 2,771.85 and 1,169.07 is: 1,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.36 : 2,771.85 = 1,169.07 : x
  2. Step 2: Convert to fraction form
    2,008.36/2,771.85 = 1,169.07/x
  3. Step 3: Cross multiply
    2,008.36x = 2,771.85 × 1,169.07
  4. Step 4: Simplify right side
    2,008.36x = 3,240,486.68
  5. Step 5: Solve for x
    x = 3,240,486.68/2,008.36
  6. Step 6: Final answer
    x = 1,613.50

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