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Finding the Fourth Proportional to 1,832.02, 2,745.90 and 1,419.83

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Solution

The fourth proportional to 1,832.02, 2,745.90 and 1,419.83 is: 2,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.02 : 2,745.90 = 1,419.83 : x
  2. Step 2: Convert to fraction form
    1,832.02/2,745.90 = 1,419.83/x
  3. Step 3: Cross multiply
    1,832.02x = 2,745.90 × 1,419.83
  4. Step 4: Simplify right side
    1,832.02x = 3,898,707.76
  5. Step 5: Solve for x
    x = 3,898,707.76/1,832.02
  6. Step 6: Final answer
    x = 2,128.10

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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.