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Finding the Fourth Proportional to 2,383.44, 3,571.56 and 1,766.16

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Solution

The fourth proportional to 2,383.44, 3,571.56 and 1,766.16 is: 2,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.44 : 3,571.56 = 1,766.16 : x
  2. Step 2: Convert to fraction form
    2,383.44/3,571.56 = 1,766.16/x
  3. Step 3: Cross multiply
    2,383.44x = 3,571.56 × 1,766.16
  4. Step 4: Simplify right side
    2,383.44x = 6,307,946.41
  5. Step 5: Solve for x
    x = 6,307,946.41/2,383.44
  6. Step 6: Final answer
    x = 2,646.57

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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.