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Finding the Fourth Proportional to 2,116.05, 2,920.19 and 1,171.90

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Solution

The fourth proportional to 2,116.05, 2,920.19 and 1,171.90 is: 1,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.05 : 2,920.19 = 1,171.90 : x
  2. Step 2: Convert to fraction form
    2,116.05/2,920.19 = 1,171.90/x
  3. Step 3: Cross multiply
    2,116.05x = 2,920.19 × 1,171.90
  4. Step 4: Simplify right side
    2,116.05x = 3,422,170.66
  5. Step 5: Solve for x
    x = 3,422,170.66/2,116.05
  6. Step 6: Final answer
    x = 1,617.24

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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.