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Finding the Fourth Proportional to 2,428.52, 3,644.24 and 967.44

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Solution

The fourth proportional to 2,428.52, 3,644.24 and 967.44 is: 1,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.52 : 3,644.24 = 967.44 : x
  2. Step 2: Convert to fraction form
    2,428.52/3,644.24 = 967.44/x
  3. Step 3: Cross multiply
    2,428.52x = 3,644.24 × 967.44
  4. Step 4: Simplify right side
    2,428.52x = 3,525,583.55
  5. Step 5: Solve for x
    x = 3,525,583.55/2,428.52
  6. Step 6: Final answer
    x = 1,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.