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Finding the Fourth Proportional to 2,008.16, 2,771.46 and 1,262.69

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Solution

The fourth proportional to 2,008.16, 2,771.46 and 1,262.69 is: 1,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.16 : 2,771.46 = 1,262.69 : x
  2. Step 2: Convert to fraction form
    2,008.16/2,771.46 = 1,262.69/x
  3. Step 3: Cross multiply
    2,008.16x = 2,771.46 × 1,262.69
  4. Step 4: Simplify right side
    2,008.16x = 3,499,480.97
  5. Step 5: Solve for x
    x = 3,499,480.97/2,008.16
  6. Step 6: Final answer
    x = 1,742.63

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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.