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Finding the Fourth Proportional to 2,650.69, 3,657.72 and 1,455.48

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Solution

The fourth proportional to 2,650.69, 3,657.72 and 1,455.48 is: 2,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.69 : 3,657.72 = 1,455.48 : x
  2. Step 2: Convert to fraction form
    2,650.69/3,657.72 = 1,455.48/x
  3. Step 3: Cross multiply
    2,650.69x = 3,657.72 × 1,455.48
  4. Step 4: Simplify right side
    2,650.69x = 5,323,738.31
  5. Step 5: Solve for x
    x = 5,323,738.31/2,650.69
  6. Step 6: Final answer
    x = 2,008.43

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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.