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Finding the Fourth Proportional to 1,617.05, 2,231.47 and 988.64

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Solution

The fourth proportional to 1,617.05, 2,231.47 and 988.64 is: 1,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.05 : 2,231.47 = 988.64 : x
  2. Step 2: Convert to fraction form
    1,617.05/2,231.47 = 988.64/x
  3. Step 3: Cross multiply
    1,617.05x = 2,231.47 × 988.64
  4. Step 4: Simplify right side
    1,617.05x = 2,206,104.40
  5. Step 5: Solve for x
    x = 2,206,104.40/1,617.05
  6. Step 6: Final answer
    x = 1,364.28

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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.