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Finding the Fourth Proportional to 1,820.09, 2,729.72 and 724.16

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Solution

The fourth proportional to 1,820.09, 2,729.72 and 724.16 is: 1,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.09 : 2,729.72 = 724.16 : x
  2. Step 2: Convert to fraction form
    1,820.09/2,729.72 = 724.16/x
  3. Step 3: Cross multiply
    1,820.09x = 2,729.72 × 724.16
  4. Step 4: Simplify right side
    1,820.09x = 1,976,736.77
  5. Step 5: Solve for x
    x = 1,976,736.77/1,820.09
  6. Step 6: Final answer
    x = 1,086.07

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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.