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Finding the Fourth Proportional to 2,322.65, 3,205.37 and 1,327.67

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Solution

The fourth proportional to 2,322.65, 3,205.37 and 1,327.67 is: 1,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.65 : 3,205.37 = 1,327.67 : x
  2. Step 2: Convert to fraction form
    2,322.65/3,205.37 = 1,327.67/x
  3. Step 3: Cross multiply
    2,322.65x = 3,205.37 × 1,327.67
  4. Step 4: Simplify right side
    2,322.65x = 4,255,650.92
  5. Step 5: Solve for x
    x = 4,255,650.92/2,322.65
  6. Step 6: Final answer
    x = 1,832.24

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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.