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Finding the Fourth Proportional to 2,116.78, 3,175.05 and 656.05

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Solution

The fourth proportional to 2,116.78, 3,175.05 and 656.05 is: 984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.78 : 3,175.05 = 656.05 : x
  2. Step 2: Convert to fraction form
    2,116.78/3,175.05 = 656.05/x
  3. Step 3: Cross multiply
    2,116.78x = 3,175.05 × 656.05
  4. Step 4: Simplify right side
    2,116.78x = 2,082,991.55
  5. Step 5: Solve for x
    x = 2,082,991.55/2,116.78
  6. Step 6: Final answer
    x = 984.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.