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Finding the Fourth Proportional to 3,103.06, 4,652.16 and 1,641.43

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Solution

The fourth proportional to 3,103.06, 4,652.16 and 1,641.43 is: 2,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.06 : 4,652.16 = 1,641.43 : x
  2. Step 2: Convert to fraction form
    3,103.06/4,652.16 = 1,641.43/x
  3. Step 3: Cross multiply
    3,103.06x = 4,652.16 × 1,641.43
  4. Step 4: Simplify right side
    3,103.06x = 7,636,194.99
  5. Step 5: Solve for x
    x = 7,636,194.99/3,103.06
  6. Step 6: Final answer
    x = 2,460.86

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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.