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Finding the Fourth Proportional to 1,822.92, 2,734.68 and 727.32

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Solution

The fourth proportional to 1,822.92, 2,734.68 and 727.32 is: 1,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.92 : 2,734.68 = 727.32 : x
  2. Step 2: Convert to fraction form
    1,822.92/2,734.68 = 727.32/x
  3. Step 3: Cross multiply
    1,822.92x = 2,734.68 × 727.32
  4. Step 4: Simplify right side
    1,822.92x = 1,988,987.46
  5. Step 5: Solve for x
    x = 1,988,987.46/1,822.92
  6. Step 6: Final answer
    x = 1,091.10

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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.