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Finding the Fourth Proportional to 2,423.84, 3,636.97 and 963.41

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Solution

The fourth proportional to 2,423.84, 3,636.97 and 963.41 is: 1,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.84 : 3,636.97 = 963.41 : x
  2. Step 2: Convert to fraction form
    2,423.84/3,636.97 = 963.41/x
  3. Step 3: Cross multiply
    2,423.84x = 3,636.97 × 963.41
  4. Step 4: Simplify right side
    2,423.84x = 3,503,872.67
  5. Step 5: Solve for x
    x = 3,503,872.67/2,423.84
  6. Step 6: Final answer
    x = 1,445.59

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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.