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Finding the Fourth Proportional to 3,178.72, 4,768.59 and 986.94

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Solution

The fourth proportional to 3,178.72, 4,768.59 and 986.94 is: 1,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.72 : 4,768.59 = 986.94 : x
  2. Step 2: Convert to fraction form
    3,178.72/4,768.59 = 986.94/x
  3. Step 3: Cross multiply
    3,178.72x = 4,768.59 × 986.94
  4. Step 4: Simplify right side
    3,178.72x = 4,706,288.37
  5. Step 5: Solve for x
    x = 4,706,288.37/3,178.72
  6. Step 6: Final answer
    x = 1,480.56

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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.