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Finding the Fourth Proportional to 2,328.62, 3,213.20 and 1,384.43

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Solution

The fourth proportional to 2,328.62, 3,213.20 and 1,384.43 is: 1,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.62 : 3,213.20 = 1,384.43 : x
  2. Step 2: Convert to fraction form
    2,328.62/3,213.20 = 1,384.43/x
  3. Step 3: Cross multiply
    2,328.62x = 3,213.20 × 1,384.43
  4. Step 4: Simplify right side
    2,328.62x = 4,448,437.87
  5. Step 5: Solve for x
    x = 4,448,437.87/2,328.62
  6. Step 6: Final answer
    x = 1,910.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.