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Finding the Fourth Proportional to 3,096.85, 4,645.27 and 1,340.41

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Solution

The fourth proportional to 3,096.85, 4,645.27 and 1,340.41 is: 2,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.85 : 4,645.27 = 1,340.41 : x
  2. Step 2: Convert to fraction form
    3,096.85/4,645.27 = 1,340.41/x
  3. Step 3: Cross multiply
    3,096.85x = 4,645.27 × 1,340.41
  4. Step 4: Simplify right side
    3,096.85x = 6,226,566.36
  5. Step 5: Solve for x
    x = 6,226,566.36/3,096.85
  6. Step 6: Final answer
    x = 2,010.61

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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.