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Finding the Fourth Proportional to 2,424.16, 3,638.31 and 964.34

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Solution

The fourth proportional to 2,424.16, 3,638.31 and 964.34 is: 1,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.16 : 3,638.31 = 964.34 : x
  2. Step 2: Convert to fraction form
    2,424.16/3,638.31 = 964.34/x
  3. Step 3: Cross multiply
    2,424.16x = 3,638.31 × 964.34
  4. Step 4: Simplify right side
    2,424.16x = 3,508,567.87
  5. Step 5: Solve for x
    x = 3,508,567.87/2,424.16
  6. Step 6: Final answer
    x = 1,447.33

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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.