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Finding the Fourth Proportional to 2,427.72, 3,350.04 and 1,433.04

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Solution

The fourth proportional to 2,427.72, 3,350.04 and 1,433.04 is: 1,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.72 : 3,350.04 = 1,433.04 : x
  2. Step 2: Convert to fraction form
    2,427.72/3,350.04 = 1,433.04/x
  3. Step 3: Cross multiply
    2,427.72x = 3,350.04 × 1,433.04
  4. Step 4: Simplify right side
    2,427.72x = 4,800,741.32
  5. Step 5: Solve for x
    x = 4,800,741.32/2,427.72
  6. Step 6: Final answer
    x = 1,977.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.