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Finding the Fourth Proportional to 2,644.50, 3,649.41 and 1,465.75

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Solution

The fourth proportional to 2,644.50, 3,649.41 and 1,465.75 is: 2,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.50 : 3,649.41 = 1,465.75 : x
  2. Step 2: Convert to fraction form
    2,644.50/3,649.41 = 1,465.75/x
  3. Step 3: Cross multiply
    2,644.50x = 3,649.41 × 1,465.75
  4. Step 4: Simplify right side
    2,644.50x = 5,349,113.58
  5. Step 5: Solve for x
    x = 5,349,113.58/2,644.50
  6. Step 6: Final answer
    x = 2,022.73

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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.