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Finding the Fourth Proportional to 2,651.44, 3,659 and 1,472.62

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Solution

The fourth proportional to 2,651.44, 3,659 and 1,472.62 is: 2,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.44 : 3,659 = 1,472.62 : x
  2. Step 2: Convert to fraction form
    2,651.44/3,659 = 1,472.62/x
  3. Step 3: Cross multiply
    2,651.44x = 3,659 × 1,472.62
  4. Step 4: Simplify right side
    2,651.44x = 5,388,316.58
  5. Step 5: Solve for x
    x = 5,388,316.58/2,651.44
  6. Step 6: Final answer
    x = 2,032.22

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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.