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Finding the Fourth Proportional to 1,617.82, 2,232.32 and 954.80

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Solution

The fourth proportional to 1,617.82, 2,232.32 and 954.80 is: 1,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.82 : 2,232.32 = 954.80 : x
  2. Step 2: Convert to fraction form
    1,617.82/2,232.32 = 954.80/x
  3. Step 3: Cross multiply
    1,617.82x = 2,232.32 × 954.80
  4. Step 4: Simplify right side
    1,617.82x = 2,131,411.57
  5. Step 5: Solve for x
    x = 2,131,411.57/1,617.82
  6. Step 6: Final answer
    x = 1,317.46

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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.