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Finding the Fourth Proportional to 1,796.69, 2,480.05 and 1,115.86

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Solution

The fourth proportional to 1,796.69, 2,480.05 and 1,115.86 is: 1,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.69 : 2,480.05 = 1,115.86 : x
  2. Step 2: Convert to fraction form
    1,796.69/2,480.05 = 1,115.86/x
  3. Step 3: Cross multiply
    1,796.69x = 2,480.05 × 1,115.86
  4. Step 4: Simplify right side
    1,796.69x = 2,767,376.19
  5. Step 5: Solve for x
    x = 2,767,376.19/1,796.69
  6. Step 6: Final answer
    x = 1,540.26

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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.