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Finding the Fourth Proportional to 2,232.02, 3,340.13 and 1,645.64

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Solution

The fourth proportional to 2,232.02, 3,340.13 and 1,645.64 is: 2,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.02 : 3,340.13 = 1,645.64 : x
  2. Step 2: Convert to fraction form
    2,232.02/3,340.13 = 1,645.64/x
  3. Step 3: Cross multiply
    2,232.02x = 3,340.13 × 1,645.64
  4. Step 4: Simplify right side
    2,232.02x = 5,496,626.60
  5. Step 5: Solve for x
    x = 5,496,626.60/2,232.02
  6. Step 6: Final answer
    x = 2,462.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.