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Finding the Fourth Proportional to 2,644.65, 3,649.05 and 1,596.51

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Solution

The fourth proportional to 2,644.65, 3,649.05 and 1,596.51 is: 2,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.65 : 3,649.05 = 1,596.51 : x
  2. Step 2: Convert to fraction form
    2,644.65/3,649.05 = 1,596.51/x
  3. Step 3: Cross multiply
    2,644.65x = 3,649.05 × 1,596.51
  4. Step 4: Simplify right side
    2,644.65x = 5,825,744.82
  5. Step 5: Solve for x
    x = 5,825,744.82/2,644.65
  6. Step 6: Final answer
    x = 2,202.84

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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.