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Finding the Fourth Proportional to 2,322.72, 3,204.72 and 1,328.04

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Solution

The fourth proportional to 2,322.72, 3,204.72 and 1,328.04 is: 1,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.72 : 3,204.72 = 1,328.04 : x
  2. Step 2: Convert to fraction form
    2,322.72/3,204.72 = 1,328.04/x
  3. Step 3: Cross multiply
    2,322.72x = 3,204.72 × 1,328.04
  4. Step 4: Simplify right side
    2,322.72x = 4,255,996.35
  5. Step 5: Solve for x
    x = 4,255,996.35/2,322.72
  6. Step 6: Final answer
    x = 1,832.33

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