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Finding the Fourth Proportional to 2,383.96, 3,571.02 and 1,768.36

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Solution

The fourth proportional to 2,383.96, 3,571.02 and 1,768.36 is: 2,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.96 : 3,571.02 = 1,768.36 : x
  2. Step 2: Convert to fraction form
    2,383.96/3,571.02 = 1,768.36/x
  3. Step 3: Cross multiply
    2,383.96x = 3,571.02 × 1,768.36
  4. Step 4: Simplify right side
    2,383.96x = 6,314,848.93
  5. Step 5: Solve for x
    x = 6,314,848.93/2,383.96
  6. Step 6: Final answer
    x = 2,648.89

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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.