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Finding the Fourth Proportional to 2,423.28, 3,635.16 and 962.11

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Solution

The fourth proportional to 2,423.28, 3,635.16 and 962.11 is: 1,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.28 : 3,635.16 = 962.11 : x
  2. Step 2: Convert to fraction form
    2,423.28/3,635.16 = 962.11/x
  3. Step 3: Cross multiply
    2,423.28x = 3,635.16 × 962.11
  4. Step 4: Simplify right side
    2,423.28x = 3,497,400.80
  5. Step 5: Solve for x
    x = 3,497,400.80/2,423.28
  6. Step 6: Final answer
    x = 1,443.25

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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.