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Finding the Fourth Proportional to 2,324.21, 3,484.62 and 763.70

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Solution

The fourth proportional to 2,324.21, 3,484.62 and 763.70 is: 1,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.21 : 3,484.62 = 763.70 : x
  2. Step 2: Convert to fraction form
    2,324.21/3,484.62 = 763.70/x
  3. Step 3: Cross multiply
    2,324.21x = 3,484.62 × 763.70
  4. Step 4: Simplify right side
    2,324.21x = 2,661,186.87
  5. Step 5: Solve for x
    x = 2,661,186.87/2,324.21
  6. Step 6: Final answer
    x = 1,144.99

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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.