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Finding the Fourth Proportional to 1,880.17, 2,817.36 and 725.29

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Solution

The fourth proportional to 1,880.17, 2,817.36 and 725.29 is: 1,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.17 : 2,817.36 = 725.29 : x
  2. Step 2: Convert to fraction form
    1,880.17/2,817.36 = 725.29/x
  3. Step 3: Cross multiply
    1,880.17x = 2,817.36 × 725.29
  4. Step 4: Simplify right side
    1,880.17x = 2,043,403.03
  5. Step 5: Solve for x
    x = 2,043,403.03/1,880.17
  6. Step 6: Final answer
    x = 1,086.82

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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.