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Finding the Fourth Proportional to 1,617.98, 2,233.24 and 955.06

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Solution

The fourth proportional to 1,617.98, 2,233.24 and 955.06 is: 1,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.98 : 2,233.24 = 955.06 : x
  2. Step 2: Convert to fraction form
    1,617.98/2,233.24 = 955.06/x
  3. Step 3: Cross multiply
    1,617.98x = 2,233.24 × 955.06
  4. Step 4: Simplify right side
    1,617.98x = 2,132,870.22
  5. Step 5: Solve for x
    x = 2,132,870.22/1,617.98
  6. Step 6: Final answer
    x = 1,318.23

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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.