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Finding the Fourth Proportional to 1,617.28, 2,231.96 and 918.72

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Solution

The fourth proportional to 1,617.28, 2,231.96 and 918.72 is: 1,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.28 : 2,231.96 = 918.72 : x
  2. Step 2: Convert to fraction form
    1,617.28/2,231.96 = 918.72/x
  3. Step 3: Cross multiply
    1,617.28x = 2,231.96 × 918.72
  4. Step 4: Simplify right side
    1,617.28x = 2,050,546.29
  5. Step 5: Solve for x
    x = 2,050,546.29/1,617.28
  6. Step 6: Final answer
    x = 1,267.90

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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.