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Finding the Fourth Proportional to 2,644.27, 3,649.12 and 1,465.36

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Solution

The fourth proportional to 2,644.27, 3,649.12 and 1,465.36 is: 2,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.27 : 3,649.12 = 1,465.36 : x
  2. Step 2: Convert to fraction form
    2,644.27/3,649.12 = 1,465.36/x
  3. Step 3: Cross multiply
    2,644.27x = 3,649.12 × 1,465.36
  4. Step 4: Simplify right side
    2,644.27x = 5,347,274.48
  5. Step 5: Solve for x
    x = 5,347,274.48/2,644.27
  6. Step 6: Final answer
    x = 2,022.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.