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Finding the Fourth Proportional to 2,383.34, 3,571.76 and 1,769.36

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Solution

The fourth proportional to 2,383.34, 3,571.76 and 1,769.36 is: 2,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.34 : 3,571.76 = 1,769.36 : x
  2. Step 2: Convert to fraction form
    2,383.34/3,571.76 = 1,769.36/x
  3. Step 3: Cross multiply
    2,383.34x = 3,571.76 × 1,769.36
  4. Step 4: Simplify right side
    2,383.34x = 6,319,715.84
  5. Step 5: Solve for x
    x = 6,319,715.84/2,383.34
  6. Step 6: Final answer
    x = 2,651.63

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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.