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Finding the Fourth Proportional to 3,190.84, 4,786.35 and 882.34

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Solution

The fourth proportional to 3,190.84, 4,786.35 and 882.34 is: 1,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.84 : 4,786.35 = 882.34 : x
  2. Step 2: Convert to fraction form
    3,190.84/4,786.35 = 882.34/x
  3. Step 3: Cross multiply
    3,190.84x = 4,786.35 × 882.34
  4. Step 4: Simplify right side
    3,190.84x = 4,223,188.06
  5. Step 5: Solve for x
    x = 4,223,188.06/3,190.84
  6. Step 6: Final answer
    x = 1,323.53

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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.