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Finding the Fourth Proportional to 4,489.63, 6,734.68 and 1,202.72

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Solution

The fourth proportional to 4,489.63, 6,734.68 and 1,202.72 is: 1,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.63 : 6,734.68 = 1,202.72 : x
  2. Step 2: Convert to fraction form
    4,489.63/6,734.68 = 1,202.72/x
  3. Step 3: Cross multiply
    4,489.63x = 6,734.68 × 1,202.72
  4. Step 4: Simplify right side
    4,489.63x = 8,099,897.65
  5. Step 5: Solve for x
    x = 8,099,897.65/4,489.63
  6. Step 6: Final answer
    x = 1,804.14

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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.