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Finding the Fourth Proportional to 1,820.44, 2,730.22 and 846.04

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Solution

The fourth proportional to 1,820.44, 2,730.22 and 846.04 is: 1,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.44 : 2,730.22 = 846.04 : x
  2. Step 2: Convert to fraction form
    1,820.44/2,730.22 = 846.04/x
  3. Step 3: Cross multiply
    1,820.44x = 2,730.22 × 846.04
  4. Step 4: Simplify right side
    1,820.44x = 2,309,875.33
  5. Step 5: Solve for x
    x = 2,309,875.33/1,820.44
  6. Step 6: Final answer
    x = 1,268.86

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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.