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Finding the Fourth Proportional to 3,453.12, 5,180.16 and 1,808.16

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Solution

The fourth proportional to 3,453.12, 5,180.16 and 1,808.16 is: 2,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.12 : 5,180.16 = 1,808.16 : x
  2. Step 2: Convert to fraction form
    3,453.12/5,180.16 = 1,808.16/x
  3. Step 3: Cross multiply
    3,453.12x = 5,180.16 × 1,808.16
  4. Step 4: Simplify right side
    3,453.12x = 9,366,558.11
  5. Step 5: Solve for x
    x = 9,366,558.11/3,453.12
  6. Step 6: Final answer
    x = 2,712.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.