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Finding the Fourth Proportional to 1,617.60, 2,231.84 and 945.28

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Solution

The fourth proportional to 1,617.60, 2,231.84 and 945.28 is: 1,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.60 : 2,231.84 = 945.28 : x
  2. Step 2: Convert to fraction form
    1,617.60/2,231.84 = 945.28/x
  3. Step 3: Cross multiply
    1,617.60x = 2,231.84 × 945.28
  4. Step 4: Simplify right side
    1,617.60x = 2,109,713.72
  5. Step 5: Solve for x
    x = 2,109,713.72/1,617.60
  6. Step 6: Final answer
    x = 1,304.22

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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.