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Finding the Fourth Proportional to 2,423.20, 3,636.30 and 962.20

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Solution

The fourth proportional to 2,423.20, 3,636.30 and 962.20 is: 1,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.20 : 3,636.30 = 962.20 : x
  2. Step 2: Convert to fraction form
    2,423.20/3,636.30 = 962.20/x
  3. Step 3: Cross multiply
    2,423.20x = 3,636.30 × 962.20
  4. Step 4: Simplify right side
    2,423.20x = 3,498,847.86
  5. Step 5: Solve for x
    x = 3,498,847.86/2,423.20
  6. Step 6: Final answer
    x = 1,443.90

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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.