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Finding the Fourth Proportional to 3,100.41, 4,646.57 and 2,664.63

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Solution

The fourth proportional to 3,100.41, 4,646.57 and 2,664.63 is: 3,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.41 : 4,646.57 = 2,664.63 : x
  2. Step 2: Convert to fraction form
    3,100.41/4,646.57 = 2,664.63/x
  3. Step 3: Cross multiply
    3,100.41x = 4,646.57 × 2,664.63
  4. Step 4: Simplify right side
    3,100.41x = 12,381,376.50
  5. Step 5: Solve for x
    x = 12,381,376.50/3,100.41
  6. Step 6: Final answer
    x = 3,993.46

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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.