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Finding the Fourth Proportional to 4,601, 6,901.64 and 1,481.32

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Solution

The fourth proportional to 4,601, 6,901.64 and 1,481.32 is: 2,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601 : 6,901.64 = 1,481.32 : x
  2. Step 2: Convert to fraction form
    4,601/6,901.64 = 1,481.32/x
  3. Step 3: Cross multiply
    4,601x = 6,901.64 × 1,481.32
  4. Step 4: Simplify right side
    4,601x = 10,223,537.36
  5. Step 5: Solve for x
    x = 10,223,537.36/4,601
  6. Step 6: Final answer
    x = 2,222.03

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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.