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Finding the Fourth Proportional to 3,182.60, 4,770.64 and 1,334.78

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Solution

The fourth proportional to 3,182.60, 4,770.64 and 1,334.78 is: 2,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.60 : 4,770.64 = 1,334.78 : x
  2. Step 2: Convert to fraction form
    3,182.60/4,770.64 = 1,334.78/x
  3. Step 3: Cross multiply
    3,182.60x = 4,770.64 × 1,334.78
  4. Step 4: Simplify right side
    3,182.60x = 6,367,748.19
  5. Step 5: Solve for x
    x = 6,367,748.19/3,182.60
  6. Step 6: Final answer
    x = 2,000.80

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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.