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Finding the Fourth Proportional to 2,008.66, 2,771.76 and 1,379.74

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Solution

The fourth proportional to 2,008.66, 2,771.76 and 1,379.74 is: 1,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.66 : 2,771.76 = 1,379.74 : x
  2. Step 2: Convert to fraction form
    2,008.66/2,771.76 = 1,379.74/x
  3. Step 3: Cross multiply
    2,008.66x = 2,771.76 × 1,379.74
  4. Step 4: Simplify right side
    2,008.66x = 3,824,308.14
  5. Step 5: Solve for x
    x = 3,824,308.14/2,008.66
  6. Step 6: Final answer
    x = 1,903.91

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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.