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Finding the Fourth Proportional to 2,383.22, 3,571.88 and 1,406.36

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Solution

The fourth proportional to 2,383.22, 3,571.88 and 1,406.36 is: 2,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.22 : 3,571.88 = 1,406.36 : x
  2. Step 2: Convert to fraction form
    2,383.22/3,571.88 = 1,406.36/x
  3. Step 3: Cross multiply
    2,383.22x = 3,571.88 × 1,406.36
  4. Step 4: Simplify right side
    2,383.22x = 5,023,349.16
  5. Step 5: Solve for x
    x = 5,023,349.16/2,383.22
  6. Step 6: Final answer
    x = 2,107.80

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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.