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Finding the Fourth Proportional to 3,185.06, 4,779.09 and 1,540.68

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Solution

The fourth proportional to 3,185.06, 4,779.09 and 1,540.68 is: 2,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.06 : 4,779.09 = 1,540.68 : x
  2. Step 2: Convert to fraction form
    3,185.06/4,779.09 = 1,540.68/x
  3. Step 3: Cross multiply
    3,185.06x = 4,779.09 × 1,540.68
  4. Step 4: Simplify right side
    3,185.06x = 7,363,048.38
  5. Step 5: Solve for x
    x = 7,363,048.38/3,185.06
  6. Step 6: Final answer
    x = 2,311.75

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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.