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Finding the Fourth Proportional to 3,100.85, 4,659.78 and 1,641.03

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Solution

The fourth proportional to 3,100.85, 4,659.78 and 1,641.03 is: 2,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.85 : 4,659.78 = 1,641.03 : x
  2. Step 2: Convert to fraction form
    3,100.85/4,659.78 = 1,641.03/x
  3. Step 3: Cross multiply
    3,100.85x = 4,659.78 × 1,641.03
  4. Step 4: Simplify right side
    3,100.85x = 7,646,838.77
  5. Step 5: Solve for x
    x = 7,646,838.77/3,100.85
  6. Step 6: Final answer
    x = 2,466.05

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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.