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Finding the Fourth Proportional to 2,328.12, 3,213.12 and 2,131.28

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Solution

The fourth proportional to 2,328.12, 3,213.12 and 2,131.28 is: 2,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.12 : 3,213.12 = 2,131.28 : x
  2. Step 2: Convert to fraction form
    2,328.12/3,213.12 = 2,131.28/x
  3. Step 3: Cross multiply
    2,328.12x = 3,213.12 × 2,131.28
  4. Step 4: Simplify right side
    2,328.12x = 6,848,058.39
  5. Step 5: Solve for x
    x = 6,848,058.39/2,328.12
  6. Step 6: Final answer
    x = 2,941.45

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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.