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Finding the Fourth Proportional to 2,427.68, 3,638.96 and 966.24

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Solution

The fourth proportional to 2,427.68, 3,638.96 and 966.24 is: 1,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.68 : 3,638.96 = 966.24 : x
  2. Step 2: Convert to fraction form
    2,427.68/3,638.96 = 966.24/x
  3. Step 3: Cross multiply
    2,427.68x = 3,638.96 × 966.24
  4. Step 4: Simplify right side
    2,427.68x = 3,516,108.71
  5. Step 5: Solve for x
    x = 3,516,108.71/2,427.68
  6. Step 6: Final answer
    x = 1,448.34

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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.