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Finding the Fourth Proportional to 2,427.36, 3,638.21 and 966.93

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Solution

The fourth proportional to 2,427.36, 3,638.21 and 966.93 is: 1,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.36 : 3,638.21 = 966.93 : x
  2. Step 2: Convert to fraction form
    2,427.36/3,638.21 = 966.93/x
  3. Step 3: Cross multiply
    2,427.36x = 3,638.21 × 966.93
  4. Step 4: Simplify right side
    2,427.36x = 3,517,889.56
  5. Step 5: Solve for x
    x = 3,517,889.56/2,427.36
  6. Step 6: Final answer
    x = 1,449.27

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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.