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Finding the Fourth Proportional to 3,180.61, 4,770.73 and 1,330.75

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Solution

The fourth proportional to 3,180.61, 4,770.73 and 1,330.75 is: 1,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.61 : 4,770.73 = 1,330.75 : x
  2. Step 2: Convert to fraction form
    3,180.61/4,770.73 = 1,330.75/x
  3. Step 3: Cross multiply
    3,180.61x = 4,770.73 × 1,330.75
  4. Step 4: Simplify right side
    3,180.61x = 6,348,648.95
  5. Step 5: Solve for x
    x = 6,348,648.95/3,180.61
  6. Step 6: Final answer
    x = 1,996.05

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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.