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Finding the Fourth Proportional to 3,128.14, 4,692.19 and 936.80

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Solution

The fourth proportional to 3,128.14, 4,692.19 and 936.80 is: 1,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.14 : 4,692.19 = 936.80 : x
  2. Step 2: Convert to fraction form
    3,128.14/4,692.19 = 936.80/x
  3. Step 3: Cross multiply
    3,128.14x = 4,692.19 × 936.80
  4. Step 4: Simplify right side
    3,128.14x = 4,395,643.59
  5. Step 5: Solve for x
    x = 4,395,643.59/3,128.14
  6. Step 6: Final answer
    x = 1,405.19

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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.