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Finding the Fourth Proportional to 3,402.38, 5,101.74 and 1,180.64

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Solution

The fourth proportional to 3,402.38, 5,101.74 and 1,180.64 is: 1,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.38 : 5,101.74 = 1,180.64 : x
  2. Step 2: Convert to fraction form
    3,402.38/5,101.74 = 1,180.64/x
  3. Step 3: Cross multiply
    3,402.38x = 5,101.74 × 1,180.64
  4. Step 4: Simplify right side
    3,402.38x = 6,023,292.80
  5. Step 5: Solve for x
    x = 6,023,292.80/3,402.38
  6. Step 6: Final answer
    x = 1,770.32

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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.