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Finding the Fourth Proportional to 3,187.64, 4,780.78 and 2,260.60

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Solution

The fourth proportional to 3,187.64, 4,780.78 and 2,260.60 is: 3,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.64 : 4,780.78 = 2,260.60 : x
  2. Step 2: Convert to fraction form
    3,187.64/4,780.78 = 2,260.60/x
  3. Step 3: Cross multiply
    3,187.64x = 4,780.78 × 2,260.60
  4. Step 4: Simplify right side
    3,187.64x = 10,807,431.27
  5. Step 5: Solve for x
    x = 10,807,431.27/3,187.64
  6. Step 6: Final answer
    x = 3,390.42

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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.