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Finding the Fourth Proportional to 2,188.37, 3,284.12 and 1,642.03

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Solution

The fourth proportional to 2,188.37, 3,284.12 and 1,642.03 is: 2,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.37 : 3,284.12 = 1,642.03 : x
  2. Step 2: Convert to fraction form
    2,188.37/3,284.12 = 1,642.03/x
  3. Step 3: Cross multiply
    2,188.37x = 3,284.12 × 1,642.03
  4. Step 4: Simplify right side
    2,188.37x = 5,392,619.46
  5. Step 5: Solve for x
    x = 5,392,619.46/2,188.37
  6. Step 6: Final answer
    x = 2,464.21

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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.