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Finding the Fourth Proportional to 2,322.85, 3,205.30 and 1,327.92

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Solution

The fourth proportional to 2,322.85, 3,205.30 and 1,327.92 is: 1,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.85 : 3,205.30 = 1,327.92 : x
  2. Step 2: Convert to fraction form
    2,322.85/3,205.30 = 1,327.92/x
  3. Step 3: Cross multiply
    2,322.85x = 3,205.30 × 1,327.92
  4. Step 4: Simplify right side
    2,322.85x = 4,256,381.98
  5. Step 5: Solve for x
    x = 4,256,381.98/2,322.85
  6. Step 6: Final answer
    x = 1,832.40

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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.