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Finding the Fourth Proportional to 2,644.70, 3,649.93 and 1,525.82

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Solution

The fourth proportional to 2,644.70, 3,649.93 and 1,525.82 is: 2,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.70 : 3,649.93 = 1,525.82 : x
  2. Step 2: Convert to fraction form
    2,644.70/3,649.93 = 1,525.82/x
  3. Step 3: Cross multiply
    2,644.70x = 3,649.93 × 1,525.82
  4. Step 4: Simplify right side
    2,644.70x = 5,569,114.13
  5. Step 5: Solve for x
    x = 5,569,114.13/2,644.70
  6. Step 6: Final answer
    x = 2,105.77

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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.