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Finding the Fourth Proportional to 3,242, 4,473.96 and 1,844.96

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Solution

The fourth proportional to 3,242, 4,473.96 and 1,844.96 is: 2,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242 : 4,473.96 = 1,844.96 : x
  2. Step 2: Convert to fraction form
    3,242/4,473.96 = 1,844.96/x
  3. Step 3: Cross multiply
    3,242x = 4,473.96 × 1,844.96
  4. Step 4: Simplify right side
    3,242x = 8,254,277.24
  5. Step 5: Solve for x
    x = 8,254,277.24/3,242
  6. Step 6: Final answer
    x = 2,546.04

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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.