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Finding the Fourth Proportional to 2,328.14, 3,213.03 and 1,280.42

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Solution

The fourth proportional to 2,328.14, 3,213.03 and 1,280.42 is: 1,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.14 : 3,213.03 = 1,280.42 : x
  2. Step 2: Convert to fraction form
    2,328.14/3,213.03 = 1,280.42/x
  3. Step 3: Cross multiply
    2,328.14x = 3,213.03 × 1,280.42
  4. Step 4: Simplify right side
    2,328.14x = 4,114,027.87
  5. Step 5: Solve for x
    x = 4,114,027.87/2,328.14
  6. Step 6: Final answer
    x = 1,767.09

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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.