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Finding the Fourth Proportional to 1,817.40, 2,724.98 and 721.28

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Solution

The fourth proportional to 1,817.40, 2,724.98 and 721.28 is: 1,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.40 : 2,724.98 = 721.28 : x
  2. Step 2: Convert to fraction form
    1,817.40/2,724.98 = 721.28/x
  3. Step 3: Cross multiply
    1,817.40x = 2,724.98 × 721.28
  4. Step 4: Simplify right side
    1,817.40x = 1,965,473.57
  5. Step 5: Solve for x
    x = 1,965,473.57/1,817.40
  6. Step 6: Final answer
    x = 1,081.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.