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Finding the Fourth Proportional to 2,390.63, 3,297.57 and 1,643.29

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Solution

The fourth proportional to 2,390.63, 3,297.57 and 1,643.29 is: 2,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.63 : 3,297.57 = 1,643.29 : x
  2. Step 2: Convert to fraction form
    2,390.63/3,297.57 = 1,643.29/x
  3. Step 3: Cross multiply
    2,390.63x = 3,297.57 × 1,643.29
  4. Step 4: Simplify right side
    2,390.63x = 5,418,847.32
  5. Step 5: Solve for x
    x = 5,418,847.32/2,390.63
  6. Step 6: Final answer
    x = 2,266.71

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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.