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Finding the Fourth Proportional to 2,644.14, 3,648.74 and 1,465.32

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Solution

The fourth proportional to 2,644.14, 3,648.74 and 1,465.32 is: 2,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.14 : 3,648.74 = 1,465.32 : x
  2. Step 2: Convert to fraction form
    2,644.14/3,648.74 = 1,465.32/x
  3. Step 3: Cross multiply
    2,644.14x = 3,648.74 × 1,465.32
  4. Step 4: Simplify right side
    2,644.14x = 5,346,571.70
  5. Step 5: Solve for x
    x = 5,346,571.70/2,644.14
  6. Step 6: Final answer
    x = 2,022.05

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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.