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Finding the Fourth Proportional to 2,651.69, 3,659.37 and 1,472.75

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Solution

The fourth proportional to 2,651.69, 3,659.37 and 1,472.75 is: 2,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.69 : 3,659.37 = 1,472.75 : x
  2. Step 2: Convert to fraction form
    2,651.69/3,659.37 = 1,472.75/x
  3. Step 3: Cross multiply
    2,651.69x = 3,659.37 × 1,472.75
  4. Step 4: Simplify right side
    2,651.69x = 5,389,337.17
  5. Step 5: Solve for x
    x = 5,389,337.17/2,651.69
  6. Step 6: Final answer
    x = 2,032.42

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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.