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Finding the Fourth Proportional to 1,617.10, 2,231.28 and 954.18

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Solution

The fourth proportional to 1,617.10, 2,231.28 and 954.18 is: 1,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.10 : 2,231.28 = 954.18 : x
  2. Step 2: Convert to fraction form
    1,617.10/2,231.28 = 954.18/x
  3. Step 3: Cross multiply
    1,617.10x = 2,231.28 × 954.18
  4. Step 4: Simplify right side
    1,617.10x = 2,129,042.75
  5. Step 5: Solve for x
    x = 2,129,042.75/1,617.10
  6. Step 6: Final answer
    x = 1,316.58

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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.