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Finding the Fourth Proportional to 3,128.16, 4,692.90 and 1,180.32

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Solution

The fourth proportional to 3,128.16, 4,692.90 and 1,180.32 is: 1,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.16 : 4,692.90 = 1,180.32 : x
  2. Step 2: Convert to fraction form
    3,128.16/4,692.90 = 1,180.32/x
  3. Step 3: Cross multiply
    3,128.16x = 4,692.90 × 1,180.32
  4. Step 4: Simplify right side
    3,128.16x = 5,539,123.73
  5. Step 5: Solve for x
    x = 5,539,123.73/3,128.16
  6. Step 6: Final answer
    x = 1,770.73

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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.