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Finding the Fourth Proportional to 3,178.60, 4,768.44 and 986.80

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Solution

The fourth proportional to 3,178.60, 4,768.44 and 986.80 is: 1,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.60 : 4,768.44 = 986.80 : x
  2. Step 2: Convert to fraction form
    3,178.60/4,768.44 = 986.80/x
  3. Step 3: Cross multiply
    3,178.60x = 4,768.44 × 986.80
  4. Step 4: Simplify right side
    3,178.60x = 4,705,496.59
  5. Step 5: Solve for x
    x = 4,705,496.59/3,178.60
  6. Step 6: Final answer
    x = 1,480.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.